We often solve polynomial equations in mathematics to find the roots of the equations. Have you ever wondered how to solve those mathematical equations using programming? Well, without using python, it would be a bit stressful to solve those equations. Let me tell you about an amazing library called numpy. In today’s tutorial, we will explore numPy in python and have some detailed analysis of numpy and its uses.

In this tutorial, you’ll learn how to calculate use Python to calculate the square root of a number, using the .sqrt() function. You’ll learn how to do this with, and without, the popular math library that comes built into Python. You’ll also learn what a square root is, what limitations there are of square roots, and how to calculate the integer square root using the math.isqrt() function.

The Quick Answer: Use math.sqrt() to Calculate a Python Square Root

Use the math library to calculate a square root with Python!

Let’s see what you’ll learn in this post!

- Introduction of Numpy in python
- Why to use numpy in python?
- Using poly1D() function in python
- Syntax
- Parameter
- Return value
- Using np. roots() function in python
- Introduction to Python Square Roots
- Square root of a positive number
- Square root of zero
- Square root of a negative number
- Calculate Square Roots with the sqrt() Function
- Calculate Square Roots with the pow() Function
- Python’s Exponent Operator (**) for Taking Square Roots
- Numpy — Calculate the Root of a Number or an Array
- Cmath — Take Python Square Roots of Complex Numbers
- Advanced Python Roots Topics
- Cube root in Python
- Square root of a list in Python
- Conclusion
- Recommended reads
- Python Scipy Optimize Root Jacobian
- What is numpy. power()?
- Parameters
- Example 3
- Code
- Python Square Root Using Exponentiation
- Python Square Root Using math. sqrt
- Python Scipy Optimize Root Lm
- Calculating Square Root in Python Using cmath Module
- Calculating Square Root in Python Using ** Operator
- Steps to Find Square Root in Python Using ** Operator
- Example 1
- Calculating Square Root in Python Using sqrt() Function
- Return Value of sqrt() Function
- Python sqrt() Function Compatibility
- Notes
- Different Ways to Calculate Square Root in Python
- How numpy solves the equation of a Companion Matrix?
- Python Program To Check If A Number Is a Perfect Square or Not
- Algorithm To Check
- How numpy. power is to get the root?
- Square Root Limitations – Negative Numbers and Zero
- Calculate the Square Root of Zero Using Python
- Calculating the Square Root of Negative Numbers with Python
- Sqrt() Function in Numpy to Calculate Square Root
- Calculating Square Root in Python Using Loop
- Python Scipy Optimize Root Brentq
- Python Scipy Optimize Root Brenth
- Python Integer Square Root
- Calculating Square Root Using pow()
- What is a Square Root?
- Learn how to calculate the sqrt() and cbrt() using numpy
- Example 2
- The change we are going to do in the power function

## Introduction of Numpy in python

Numpy stands for Numerical Python. It is an open-source scientific computing library for the Python programming language. NumPy is a library of numerical routines that helps in solving scientific problems. Numpy array is a very famous package in the numpy library. It also has functions in the domain of linear algebra, Fourier transformations, and matrices.

### Why to use numpy in python?

In our previous tutorial, we have learned about lists. Lists are similar to arrays in python, but it is a slower process. On the other hand, NumPy arrays are stored at one continuous location in memory, so it is straightforward to access and manipulate them very efficiently.

In layman language square root can be defined as A square root of a number is a value that, when multiplied by itself, gives the number. In Python or any other Programming Language to calculate the square root of a number, we have different methods. And In this tutorial, we will try to cover all the methods to calculate the square root of a number.

## Using poly1D() function in python

poly1D helps us to define a polynomial function in python. We use this function as it makes it easy to apply the operations on polynomials. The coefficients of the polynomial are to be put in a numpy array in a sequence.

### Syntax

numpy.poly1d(arr, root, var)

### Parameter

var: – variables like x, y, z that we need in polynomial. The default variable is x.

### Return value

poly1D returns the polynomial equation along with the operation applied on it.

Explanation of the code

In this article, we will learn about the numpy nth root of a number. We are going to learn how to solve the nth root of any number. In python, we use numpy.sqrt() to find the of a number. And we use numpy.cbrt() to find the third root, the cube of a number. But If we want the 5th root or 6th root of a number. What will we do? How to find this root? You will get the solutions for all these questions at the end of the article.

If B is equal to A multiplied n times, then B’s nth root would be equal to A, which is the nth root. The number in a smaller subscript tells which root it is so. Suppose we want the square root of 16. Then we can easily say two times of 4 will give 16. Likewise, if we want the cube root of 8, we say three times of 2 will give 27. Now we go for 32 roots of 5; then we have to find out what number multiplied by itself gives us 32. This is the common idea to get the nth root of any number.

- Example 1
- Example 2
- Example 3

## Using np. roots() function in python

In this method, we will look at how to use the function of the numpy root and print the given function help of the print function in python. numpy.roots() function returns the roots of a polynomial with coefficients given in p. The coefficients of the polynomial are to be put in a numpy array in a sequence.

It takes the coefficients of an given polynomial.

The function will return the roots of the polynomial.

Let’s do some code to understand.

Let us consider an equation: x2 + 5*x + 6

The coefficients are 1, 5 and 6.

The coefficients are 1, -6 , 11 and -6.

SciPy optimizes package provides routines for minimizing (or maximizing), sometimes subject to limitations, objective functions. Constrained and nonlinear least-squares, linear programming, nonlinear least-squares, curve fitting, and root finding are some of the nonlinear problem solvers that are included.

Here in this section, we will use the method root() of Python Scipy that exists in a module scipy.optimize that find a vector function’s root.

The syntax is given below.

scipy.optimize.root(fun, x0, args=(), method=’hybr’, jac=None, tol=None, callback=None, options=None)

Where parameters are:

The OptimizeResult object, which is returned by this function, represents the solution. There are three primary components returned as part of the object:

Import the required libraries or methods using the below python code.

import numpy as np

from scipy.optimize import root

Find the solution using the below code.

Python Scipy Optimize Root

This is how to find the root of the function using the method root() of Python Scipy with the method hybr.

Read Python Scipy Pairwise Distance

There’s more than one way to Python square roots. Learn 5 approaches to square roots in Python + some bonus advanced tricks.

After learning about 4 ways to square a number in Python, now it’s time to tackle the opposite operation — Python square roots. This article will teach you five distinct ways to take square roots in Python and will finish off with a bonus section on cube roots and square roots of Python lists.

Let’s get started by introducing the topic and addressing the potential issues you have to consider when calculating square roots in Python.

## Introduction to Python Square Roots

Put simply, the square root of a number is a value that returns the same number when multiplied by itself. It’s an inverse operation of squaring.

For example, 3 squared is 9, and a square root of 9 is 3 because 3 x 3 is 9. It’s a concept that’s somewhat difficult to explain in a sentence, but you get the idea as soon as you see it in action.

Before diving into different ways to take square roots in Python, let’s go over the sets of numbers for which you can and can’t take square roots.

### Square root of a positive number

Square roots only play well with positive numbers. For now, ignore the code that’s responsible for calculations and just focus on the results.

b

# Square root of a positive number

a_sqrt mathsqrt(a)

b_sqrt mathsqrt(b)

print(«Square root of a positive number»)

Here’s the output:

Image 1 — Square root of a positive number (image by author)

So, 1×1 = 1, and 5×5 = 25 — that’s essentially how square roots work. But what if you were to take a square root of zero?

### Square root of zero

Now, zero is neither a prime nor composite number, so we can’t find its prime factorization. For this reason, a square root of zero is zero:

# Square root of a zero

a_sqrt mathsqrt(a)

print(«Square root of a zero»)

Image 2 — Square root of a zero (image by author)

Only one use case left, and that’s negative numbers.

### Square root of a negative number

There’s no way to calculate a square root of a negative number by using real numbers. Two negative numbers multiplied will always result in a positive number.

Nevertheless, let’s give it a shot:

a

# Square root of a negative number

a_sqrt mathsqrt(a)

print(«Square root of a negative number»)

It results in an error:

Image 3 — Square root of a negative number (image by author)

There are ways to calculate square roots of negative numbers, and that’s by writing them as a multiple of -1. For instance, -9 can be written as -1 x 9. The result would be 3i. Stepping into the realm of imaginary numbers is out of the scope for today, so I’ll stop here.

Next, let’s go over 5 ways to tackle Python square roots.

## Calculate Square Roots with the sqrt() Function

The first method is actually the one you’ve seen in the previous section. It relies on the math.pow() function to do the trick. This module ships with the default Python installation, so there’s no need to install any external libraries.

Below is a code snippet demonstrating how to take square roots in Python using this function:

b

c

d

e

# Method #1 — math.sqrt() function

a_sqrt mathsqrt(a)

b_sqrt mathsqrt(b)

c_sqrt mathsqrt(c)

d_sqrt mathsqrt(d)

e_sqrt mathsqrt(e)

print(«Method #1 — math.sqrt() function»)

And here are the results:

Image 4 — Math sqrt() function (image by author)

This is probably the one and only method you’ll need, but let’s take a look at some alternatives as well.

## Calculate Square Roots with the pow() Function

If squaring a number means raising it to the power of 2, then taking a square root is essentially raising it to the power of 0.5. That’s exactly the behavior you can implement with the math.pow() function. It takes two arguments — the number and the exponent.

Let’s take a look at a couple of examples:

b

c

d

e

# Method #2 — math.pow() function

a_sqrt mathpow(a, )

b_sqrt mathpow(b, )

c_sqrt mathpow(c, )

d_sqrt mathpow(d, )

e_sqrt mathpow(e, )

print(«Method #2 — math.pow() function»)

The output is identical to what we had before:

Image 5 — Math pow() function (image by author)

Neat, but can we eliminate library usage altogether? Sure, here’s how.

## Python’s Exponent Operator (**) for Taking Square Roots

The same logic from the previous function applies here. You can raise a number to the power of 0.5 with Python’s exponent operator. It does the same as math.pow(x, 0.5), but the syntax is shorter and doesn’t rely on any libraries.

Here’s how to use it in Python:

b

c

d

e

# Method #3 — Python exponent operator

a_sqrt a

b_sqrt b

c_sqrt c

d_sqrt d

e_sqrt e

print(«Method #3 — Python exponent operator»)

The results are once again identical, no surprises here:

Image 6 — Python exponent operator (image by author)

Next, let’s take a look at taking square roots of numbers and arrays with Numpy.

## Numpy — Calculate the Root of a Number or an Array

Numpy is a go-to library for numerical computations in Python. It has a sqrt() function built-in, and you can use it to take square roots for both numbers and arrays.

Just keep in mind the return type — it will be numpy.float64 for a single number and numpy.ndarray for the array. Each array element will be of type numpy.float64, of course:

numpy np

b

c

d

e

# Method #4 — Numpy square roots

a_sqrt npsqrt(a)

b_sqrt npsqrt(b)

c_sqrt npsqrt(c)

d_sqrt npsqrt(d)

e_sqrt npsqrt(e)

arr_sqrt npsqrt(arr)

print(«Method #4 — Numpy square roots»)

Here’s the console output:

Image 7 — Square roots in Numpy (image by author)

This is by far the most convenient method because it relies on a widely-used Python library, and the calculation procedure is the same regardless of the data type coming in.

## Cmath — Take Python Square Roots of Complex Numbers

Remember the story of square roots and negative numbers? Python’s math module raised an error but cmath is here to save the day. This module is used to work with complex numbers.

In the code snippet below, you’ll see square roots taken from positive integers, floats, complex numbers, and negative numbers:

b

c cmathpi

d j

e

# Method #5 — Square roots of complex numbers

a_sqrt cmathsqrt(a)

b_sqrt cmathsqrt(b)

c_sqrt cmathsqrt(c)

d_sqrt cmathsqrt(d)

e_sqrt cmathsqrt(e)

print(«Method #5 — Square roots of complex numbers»)

There are no errors this time:

Image 8 — Square roots of complex numbers (image by author)

I’ve never had a need to use this module, but it’s good to know it exists.

Next, let’s go over some more advanced usage examples of Python square roots.

## Advanced Python Roots Topics

We’ll now shift gears and discuss a couple of more advanced topics. These include ways to calculate cube roots in Python, and take square roots of vanilla Python lists. Let’s start with the cube roots.

### Cube root in Python

If taking a square root means raising a number to the power of 0.5, then the cube root must be represented by the power of 0.333, or 1/3.

Here’s how to implement this logic in Python, without any external libraries:

b

c

d

e

# Bonus #1 — Cube roots

a_cbrt a ()

b_cbrt b ()

c_cbrt c ()

d_cbrt d ()

e_cbrt e ()

print(«Bonus #1 — Cube roots»)

The results are printed below:

Image 9 — Cube roots (1) (image by author)

Numpy provides an easier way to take cube roots in Python. It has a cbrt() function built in, which stands for cube root. You can use it both on numbers and arrays, just as with square roots:

numpy np

b

c

d

e

# Bonus #1.2 — Cube roots with Numpy

a_cbrt npcbrt(a)

b_cbrt npcbrt(b)

c_cbrt npcbrt(c)

d_cbrt npcbrt(d)

e_cbrt npcbrt(e)

arr_cbrt npcbrt(arr)

print(«Bonus #1.2 — Cube roots with Numpy»)

Let’s take a look at the results:

Image 10 — Cube roots (2) (image by author)

Yes, it’s that easy.

### Square root of a list in Python

There’s also an easy way to calculate the square root of Python lists, without Numpy. You can simply iterate over the list and take a square root of an individual list item:

# Bonus #2 — Square root of a Python list

num arr:

print(«Bonus #2 — Square root of a Python list»)

Here’s the result:

Image 11 — Square root of a list (1) (image by author)

Or, if you prefer a more Pythonic approach, there’s no reason not to use a list comprehension and simply the above calculation to a single line of code:

# Bonus #2.2 — Square root of a Python list using list comprehension

print(«Bonus #2.2 — Square root of a Python list using list comprehension»)

The output is identical:

Image 12 — Square root of a list (2) (image by author)

And that’s how easy it is to take square roots in Python — for integers, floats, lists, and even complex numbers. Let’s make a short recap next.

## Conclusion

You now know 5 different ways to calculate Python square roots. In practice, you only need one, but it can’t hurt to know a couple of alternatives. You can use the built-in math module, opt for numpy, or use the exponent operator and avoid libraries altogether. All approaches work, and the choice is up to you.

### Recommended reads

Numpy root helps in finding the roots of a polynomial equation having coefficients in python. It can be found using a couple of methods. Let’s discuss them in detail. A polynomial equation is written as: –

## Python Scipy Optimize Root Jacobian

We have already learned about how the method root() works from the above subsection of this tutorial, now we will create a function to compute the Jacobian.

Built a vector and Jacobian function using the below code.

To use the Anderson helper technique to determine the vector function’s root, use the optimize.root function.

Check the result using the below code.

Python Scipy Optimize Root Jacobian

This is how to find the root of the function with the jacobian function using the method root() of Python Scipy.

Read Python Scipy Ndimage Imread Tutorial

## What is numpy. power()?

An element in the second array is raised to the power of the element in the first array. The limit of both arrays must be the same and positive numbers.

### Parameters

The bases in x1 are raised to the exponents in x2. This is a scalar if both x1 and x2 are scalars.

## Example 3

number: 90

The nth root you gave: 4

The 4th root of 90 is: 3.080070288241023

4 times the final result gives the value 90.

Until we saw how to get a root for a single element, now we will see how to get the root for the array of elements.

### Code

The Python Scipy contains a method root_scalar() in a module scipy.optimize that identify the scalar function’s root.

scipy.optimize.root_scalar(f, args=(), method=None, bracket=None, fprime=None, fprime2=None, x0=None, x1=None, xtol=None, rtol=None, maxiter=None, options=None)

from scipy.optimize import root_scalar

Define cubic function using the below code.

def fun(x):

return (x**3 — 1)

Find the root of the cubic using the below code.

Python Scipy Optimize Root Scalar

This is how to find the root of the scalar function using the method root_scalar() of Python Scipy.

Read Python Scipy Linalg Svd

## Python Square Root Using Exponentiation

In an earlier section of this tutorial, you learned that the square root is the base of a square number. Similarly, we can write the square root of a number n as n1/2.

In Python, we can raise any number to a particular power using the exponent operator **.

Let’s see how we can get the Python square root without using the math library:

# Use exponents to calculate a square root

number = 25

square_root = number**(1/2)

print(square_root)

# Returns: 5.0

You can see here that this returns the same value as if we had used the sqrt() function.

Similarly, we could also have written number**0.5.

Important tip: If you’re using Python 2, you will need to ensure you’re using float division and write number**(1./2). This is because Python 2 floors to an integer. As such, simply writing number**(1/2) would actually result in number**(0).

## Python Square Root Using math. sqrt

To calculate the square root in Python, you can use the built-in math library’s sqrt() function. This makes it very easy to write and to help readers of your code understand what it is you’re doing.

The sqrt() function takes only a single parameter, which represents the value of which you want to calculate the square root. Let’s take a look at a practical example:

# Using the sqrt() function to calculate a square root

from math import sqrt

number = 25

square_root = sqrt(number)

print(square_root)

# Returns: 5.0

Let’s explore what we’ve done here:

Check out some other Python tutorials on datagy, including our complete guide to styling Pandas and our comprehensive overview of Pivot Tables in Pandas!

## Python Scipy Optimize Root Lm

The method scipy.optimize.root() accepts a parameter method that can take different methods for finding the root. There is a value lm for this parameter that uses Levenberg-Marquardt to find the least squares solution.

col_deriv(boolean): For the Jacobian function to calculate derivatives down the columns, the value must be non-zero.

For the rest of the parameters, please refer to the first subsection “Python Scipy Optimize Root”.

Read Python Scipy Smoothing

## Calculating Square Root in Python Using cmath Module

The cmath module is used to calculate the square root in python of Real or Complex number.

Example: Calculating Square Root of a Number Using cmath

The square root of (1+2j) is 1.272+0.786j

In this program, we use the sqrt() function in the cmath (complex math) module. Notice that we have used the eval() function instead of float() to convert complex number as well. Also, notice the way in which the output is formatted.

## Calculating Square Root in Python Using ** Operator

** operator is exponent operator. a**b (a raised to the power b).

### Steps to Find Square Root in Python Using ** Operator

Example 1: Calculating Square Root of a Number Using ** Operator

def sqrt(n):

if n < 0:

return

else:

return n**0.5

print(sqrt(61))

## Example 1

The 7th root of 81 is: 1.873444004574479

7 times of final result will give the value 81.

## Calculating Square Root in Python Using sqrt() Function

Python math module deals with mathematical functions and calculations. Function sqrt() in the math module is used to calculate the square root of a given number.

num – Here num can be any positive number whom square root you want.

### Return Value of sqrt() Function

sqrt() method in Python will return the square root of the given number in floating-point. If the value is less than 0 then it will return Runtime Error.

### Python sqrt() Function Compatibility

Let’s see some examples to calculate the Python Square Root using sqrt() function.

Example 1: Calculating Square Root of a Positive Integer

import math

print(«The square root of 25 is»,math.sqrt(64))

The square root of 25 is 8.0

Example 2: Calculating Square Root of a Floating Point Number

import math

print(«The square root of 9.9 is:», math.sqrt(12.9))

The square root of 9.9 is: 3.591656999213594

Example 3: Calculating Square Root of 0

import math

print(«The square root of 0 is»,math.sqrt(0))

The square root of 0 is 0.0

Example 4: Calculating Square Root of a Negative Number

import math

print(«The square root of -16 is»,math.sqrt(-16))

So, when x<0 it does not execute instead generates a ValueError.

Example 5: Calculating Square Root of Boltzmann Constant

Square root of Boltzmann constant:3.715707900252655e-12

### Notes

The method ridder() of Python Scipy module scipy.optimize uses Ridder’s method and locates a function’s interval root.

scipy.optimize.ridder(f, a, b, args=(), xtol=2e-12, rtol=8.881784197001252e-16, maxiter=100, full_output=False, disp=True)

The method ridder() returns x0 (between a and b, f has zero).

from scipy.optimize import ridder

Define the function whose root we want to find using the below code.

def fun(x):

return (x**4 — 2)

Now find the root of the function using the below code.

Python Scipy Optimize Root Ridder

## Different Ways to Calculate Square Root in Python

Generally, we have ways to calculate the square root in Python which are mentioned below:

## How numpy solves the equation of a Companion Matrix?

Python even helps us to solve a companion matrix as well with the help of numpy. The method which we use to solve this is np.legcompanion(). The np.legcompanion() will return the companion matrix .

It returns a ndarray Companion matrix of dimensions (degree, degree).

import numpy as np

import numpy.polynomial.legendre as npl

s = (1, 2, 3, 4, 5)

res = npl.legcompanion(s)

print(res)

## Python Program To Check If A Number Is a Perfect Square or Not

Any number which can be expressed as the product of two whole equal numbers is classified as a perfect square. For example, 25 can be written as 5*5 hence 25 is a perfect square.

### Algorithm To Check

Enter the Number: 81

81 is a perfect square

## How numpy. power is to get the root?

We are going to use to get the root of a number. It is useful to calculate the power of a number. Here we are using it to find the root. Many of you are confused about how it is possible? We know that 25 = 32. Now, if we want the root, we can interchange it as 321/5. Now we will get the root as 2. This is the change we will make in power() to get the root of a number.

## Square Root Limitations – Negative Numbers and Zero

In the two sections below, you’ll learn about two special cases of square roots. In particular, you’ll learn how to calculate the square root of zero, as well as what happens when you try to calculate the square root of a negative number!

### Calculate the Square Root of Zero Using Python

Now, let’s see how we can use Python to calculate the value of the square root of zero. We can do this, again, using the sqrt() function:

# Calculating the square root of zero

from math import sqrt

number = 0

square_root = sqrt(number)

print(square_root)

# Returns: 0.0

We can see from the example above that calculating the square root of zero does not cause an error.

### Calculating the Square Root of Negative Numbers with Python

Finally, let’s take a look at what happens when we try to calculate the square root of negative numbers with Python. You’ll remember, from the earlier section, that squares are always positive numbers. So, what happens when we try to take the square root of a negative number? Let’ give this a shot!

# Calculating the square root of a negative number

from math import sqrt

number = -25

square_root = sqrt(number)

print(square_root)

# Returns: ValueError: math domain error

We can see that trying to calculate the square root of a negative number returns a ValueError. The reason that this happens is because the square root of negative numbers simply don’t exist!

In the next section, you’ll learn how to calculate the integer square root.

## Sqrt() Function in Numpy to Calculate Square Root

numpy is a third party library and module which provides calculations about matrix, series, big data, etc. Numpy also provides the sqrt() and pow() functions and we can use these function to calculate square root.

import numy

numpy.sqrt(9)

//The result is 3

numpy.pow(9,1/2)

//The result is 3

## Calculating Square Root in Python Using Loop

Please Enter any Postive Integer : 5

Enter Exponent Value to the power raise to : 3

The Result of 5 Power 3 = 125

## Python Scipy Optimize Root Brentq

Python Scipy has a method brentq() in a module scipy.optimize that uses Brent’s approach to locate a function’s root in a bracketing interval.

scipy.optimize.brentq(f, a, b, maxiter=100, args=(), xtol=2e-12, rtol=8.881784197001252e-16, full_output=False, disp=True)

The method brentq() returns x0 (between a and b, f has zero).

from scipy.optimize import brentq

Python Scipy Optimize Root Brentq

This is how to find the root of the function in bracketing interval using the method brentq() of Python Scipy.

Read Python Scipy Softmax

## Python Scipy Optimize Root Brenth

The method brenth() of Python Scipy module scipy.optimize uses Brent’s approach and hyperbolic extrapolation, one can find a function’s root in a bracketing interval.

An alternative to the traditional Brent method that employs inverse quadratic extrapolation instead of hyperbolic extrapolation to locate a zero of the function f between the parameters a and b.

The top bound of function evaluations using this method, according to Bus & Dekker (1975), is 4 or 5 times lower than that for bisection, guaranteeing convergence for this method.

The signs of f(a) and f(b) cannot be the same. On par with the brent routine generally, but not as rigorously tested. This hyperbolic extrapolation-based secant approach is a secure variation on the original.

scipy.optimize.brenth(f, a, b, args=(), xtol=2e-12, rtol=8.881784197001252e-16, maxiter=100, full_output=False, disp=True)

The method brenth() returns x0 (between a and b, f has zero).

from scipy.optimize import brenth

Python Scipy Optimize Root Brenth

This is how to find the root of the function in bracketing interval with hyperbolic extrapolation, using the method brentq() of Python Scipy.

Read How to use Python Scipy Differential Evolution

## Python Integer Square Root

There may be times when you want to return an integer value when you are calculating the square root of a value. Keep in mind, that unless you’re working with specific numbers (“perfect squares”), this won’t be the true square root of that number.

Python’s math library comes with a special function called isqrt(), which allows you to calculate the integer square root of a number.

Let’s see how this is done:

# Calculating the integer square root with Python

from math import isqrt

number = 27

square_root = isqrt(number)

print(square_root)

# Returns: 5

Similar to our example of using the sqrt() function, the isqrt() returned a value. When we passed in 27, the function returned 5! This is odd, since that’s actually the square root of 25.

The reason for this is that the isqrt() floors the value to its nearest integer.

## Calculating Square Root Using pow()

In this section, we are going to use the pow() built-in method to calculate the square root in Python.

Let us understand how does pow() function work in Python.

The pow() method takes 2 parameters, the first parameter is the numerical value, and the second parameter is the power of the numerical value. If we have a look at it, then you’ll notice that it is similar the way we have calculated the square root in the above examples.

pow(x,y) # where y is the power of x or x**y

Example: Calculating Square Root of a Number Using pow()

Please Enter any numeric Value: 69

The Square Root of a Given Number 69.0 = 8.306623862918075

pow() is also a predefined method to find out the power of a number, it takes two arguments as input, first is the number itself and the second one is the power of that number. The program is same as the first program where we’re using (**) sign to find out the square root but the only difference is this that here we’re using a predefined method pow() instead of (**) sign to get the power of that number.

## What is a Square Root?

In math, you often hear of the square of a number, which is often represented by a superscript 2. So, a square of a number n, would be represented by n2. The square of a number is calculated by multiplying the number by itself.

Because of this, the square of a number will always have some properties:

But why are we learning about squares, if this article is about the square root? The square root is much easier to understand when you understand the square of a number. This is because the square root is, quite literally, the root of the square.

What I mean by this, is that the square root of n2 is n. The square root of a number, say y, is often represented as √y. The square root is used in many different mathematical and scientific functions, such as the pythagorean theorem, which calculates the length of the hypotenuse of a right angle triangle.

Now that you have a solid understanding of what the square root is, let’s dive into how to calculate the square root using Python!

Want to learn something else? Want to learn how to calculate the standard deviation in Python? Check out my in-depth tutorial here!

## Learn how to calculate the sqrt() and cbrt() using numpy

import numpy as np

square_root=np.sqrt(16)

print(«The square root of 16 is:»,int(square_root))

cube_root=np.cbrt(27)

print(«The cube root of 27 is:»,int(cube_root))

The square root of 16 is: 4

The cube root of 27 is: 3

1. Which function in numpy is useful to calculate the nth root of a number?

numpy.power() is useful to calculate the nth root of a number.

2. How to calculate the square root of a number using numpy?

numpy.sqrt() is useful to calculate the square root of a number.

3. How to calculate the cube root of a number using numpy?

cbrt() is useful to calculate the square root of a number.

## Example 2

Enter a number:81

Enter which root do you want:6

The 6th root of 81 is: 2.080083823051904

6 times of final result will give the value 81.

## The change we are going to do in the power function

To calculate the power:

To calculate the root:

Numpy is an essential library python has. It is used in many applications for data scientists and machine learning engineers. This article has discussed a few of its features, such as root function and polynomial.legendre function.

If you have any doubts please drop a comment in the comment section below.

So in this tutorial, we tried to cover how to calculate Square Root In Python.We Discussed all the methods and techniques by which you can calculate square root.

If you have still any doubts or suggestions. Do let us know in the comment section below.

In this post, you learned how to use Python to calculate a square root, both with and without the math.sqrt() function. You also learned what a square root is, what some of its limitations are, as well as how to calculate a Python integer square root.

Here we learned about the numpy nth root of a number briefly. We have used numpy.power() to get the root of a number. We hope this article is beneficial for all. Try to solve all the python programs on your own. Learn python in a python pool.