Square Root Calculator .Co

Practice some problems before going into the exercise.

Want to join the conversation?

You can multiply square roots, a type of radical expression, just as you might multiply whole numbers. Sometimes square roots have coefficients (an integer in front of the radical sign), but this only adds a step to the multiplication and does not change the process. The trickiest part of multiplying square roots is simplifying the expression to reach your final answer, but even this step is easy if you know your perfect squares.

1. 

   Multiply the coefficients. A coefficient is a number in front of the radical sign. To do this, just ignore the radical sign and radicand, and multiply the two whole numbers. Place their product in front of the first radical sign.

2. 

3. 

4. 

Calculator, Practice Problems, and Answers

Add New Question

• We are not allowed to use a calculator, so how do I multiply a whole number by a square root?

  

  When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together. So 2 * 4(square root of 3) = 8(square root of 3).

• What is 2 root 3 times root 3?

  

  √3 times √3 equals 3. Two times that is 6.

• What is 4 divided by square root of 5?

  

  (4√5)/5. Since radicals are not supposed to be in the denominator, you multiply by √5/√5 to get (4√5)/5.

See more answers

Ask a Question

200 characters left

Include your email address to get a message when this question is answered.

• Always remember your perfect squares because it will make the process much easier!

• All terms under the radicand are always positive, so you will not have to worry about sign rules when multiplying radicands.

Things You’ll Need

• Pencil
• Paper
• Calculator

About This Article

To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. If there are any coefficients in front of the radical sign, multiply them together as well. Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it. If you want to learn how to check your answers when you’re finished solving, keep reading the article!

Did this summary help you?

Thanks to all authors for creating a page that has been read 1,431,880 times.

Do you want to learn how to solve some square root math problems? Here are some examples of square root problems that we have explained and solved:

Unit digit of the square of 272

Square Root of Pi

10000 square feet to acres

What is the square root of 3?

What is the square root of 5 squared?

What is the square root of 1/4?

What is sum of the first 10 square numbers?

Is the square root of 40 rational or irrational?

Simplify Square Root of 72

How to find the square root of 80 by hand?

What is the square root of 50 as a fraction?

Where can I get a list of perfect squares?

What is the square root of negative 4?

How to convert 200 square meters to square feet

Convert 2 acres to square feet

How many square feet is a 12×12 room?

What is Square Root of 0.25?

1 square foot to square meters

Square root of 2 definition
The square root of 2 in mathematical form is written with the radical sign like this √2. We call this the square root of 2 in radical form.
The square root of 2 is a quantity (q) that when multiplied by itself will equal 2.

√ = q × q = q²

Is 2 a perfect square?
2 is a perfect square if the square root of 2 equals a whole number. As we have calculated further
down on this page, the square root of 2 is not a whole number.

2 is not a perfect square.

Is the square root of 2 rational or irrational?
The square root of 2 is a rational number if 2 is a perfect square. It is an irrational number if it is not a perfect square.
Since 2 is not a perfect square, it is an irrational number. This means that the answer to «the square root of 2?» will have an infinite number
of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√ is an irrational number

Can the square root of 2 be simplified?
You can simplify 2 if you can make 2 inside the radical smaller. We call this process «to simplify a surd».
The square root of 2 cannot be simplified.

√ is already in its simplest radical form.

√ ≈ 1.414213562

How to calculate the square root of 2 with a computer
If you are using a computer that has Excel or Numbers, then you can enter SQRT(2) in a cell to get the square root of 2.
Below is the result we got with 13 decimals. We call this the square root of 2 in decimal form.

SQRT(2) ≈ 1.4142135623731

What is the square root of 2 rounded?
The square root of 2 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 2 rounded to the nearest hundredth, means that you
want two digits after the decimal point. The square root of 2 rounded to the nearest thousandth, means that you want three digits after the decimal point.

10th: √ ≈ 1.4

100th: √ ≈ 1.41

1000th: √ ≈ 1.414

What is the square root of 2 as a fraction?
Like we said above, since the square root of 2 is an irrational number, we cannot make it into an exact fraction.
However, we can make it into an approximate fraction using the square root of 2 rounded to the nearest hundredth.

√
≈ 1.41/1
≈ 141/100
≈ 1 41/100

What is the square root of 2 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 2 is no exception. Here is the rule and the answer
to «the square root of 2 converted to a base with an exponent?»:

√ = b^½

√ = 2^½

How to find the square root of 2 by long division method
Here we will show you how to calculate the square root of 2 using the long division method with one decimal place accuracy. This is the lost
art of how they calculated the square root of 2 by hand before modern technology was invented.

Set up 2 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

Starting with the first set: the largest perfect square less than or equal to 2 is 1, and the square root of 1 is 1. Therefore, put 1 on top and 1 at the bottom like this:

Calculate 2 minus 1 and put the difference below. Then move down the next set of numbers.

Double the number in green on top: 1 × 2 = 2. Then, use 2 and the bottom number to make this problem:

2 × ≤ 100

The question marks are «blank» and the same «blank». With trial and error, we found the largest number «blank» can be is 4.
Now, enter 4 on top:

That’s it! The answer is on top. The square root of 2 with one digit decimal accuracy is 1.4.

Square Root of a Number
Please enter another number in the box below to get the square root of the number and other detailed information like you got for 2 on this page.

Remember that negative times negative equals positive. Thus, the square root of 2 does not only have the positive answer
that we have explained above, but also the negative counterpart.

We often refer to perfect square roots on this page. You may want to use the list of perfect squares
for reference.

Square Root of 3
Here is the next number on our list that we have equally detailed square root information about.

You might like to read our Introduction to Squares and Square Roots first.

Squares

Example: What is 3 squared?

«Squared» is often written as a little 2 like this:

This says «4 Squared equals 16»
(the little 2 means
the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root
of 9 is 3

It is like asking:

What can I multiply by itself to get this?

Definition

Here is the definition:

A square root of x is a number r whose square is x:

r² = x
r is a square root of x

The Square Root Symbol

We can use it like this:

we say «square root of 9 equals 3»

Example: What is √36 ?

Answer: 6 × 6 = 36, so √36 = 6

Negative Numbers

We can also square negative numbers.

Example: What is minus 5 squared?

• square the 5, then do the minus?
• or square (−5)?

It isn’t clear! And we get different answers:

• square the 5, then do the minus: −(5×5) =
• square (−5): (−5)×(−5) =

So let’s make it clear by using «( )».

That was interesting!

When we square a negative number we get a positive result.

Just the same as when we square a positive number:

Now remember our definition of a square root?

A square root of x is a number r whose square is x:

r² = x
r is a square root of x

And we just found that:

(+5)² = 25
(−5)² = 25

So both +5 and −5 are square roots of 25

Two Square Roots

There can be a positive and negative square root!

This is important to remember.

Example: Solve w² = a

w = √a   and   w = −√a

Principal Square Root

So if there are really two square roots, why do people say √ =

There are two square roots, but the symbol means just the principal square root.

Example:

The square roots of 36 are 6 and −6

But √ = (not −6)

The Principal Square Root is sometimes called the Positive Square Root (but it can be zero).

In a Nutshell

When we have:r² = x

r = ±√x

Why Is This Important?

Why is this «plus or minus» important? Because we don’t want to miss a solution!

Example: Solve x² − 9 = 0

x² − 9 = 0

Move 9 to right:x² = 9

x = ±√9

x = ±3

The «» tells us to include the «−3» answer also.

Example: Solve for x in (x − 3)² = 16

(x − 3)² = 16

x − 3 = ±√16

x − 3 =

Add 3 to both sides:x = 3 ± 4

x = 7 or −1

Check: (7−3)² = 4² = 16
Check: (−1−3)² = (−4)² = 16

Square Root of xy

When two numbers are multiplied within a square root, we can split it into a multiplication of two square roots like this:

√ = √√

but only when x and y are both greater than or equal to 0

Example: What is √(100×4) ?

= √(100) × √(4)

 = 10 × 2

And √√ = √ :

Example: What is √8√2 ?

Example: What is √(−8 × −2) ?

√(−8 × −2) = √(−8) × √(−2)

We seem to have fallen into some trap here!

We can use Imaginary Numbers,

but that leads to a wrong answer of −4

The rule only works when x and y are both greater than or equal to 0

So we can’t use that rule here.

Instead just do it this way:

√(−8 × −2) = √16 = +4

Why does √ = √√ ?

We can use the fact that squaring a square root gives us the original value back again:

(√)² = a

Assuming a is not negative!

We can do that for xy:(√)² = xy

And also to x, and y, separately:(√)² = (√)²(√)²

Use a²b² = (ab)²:(√)² = (√√)²

Remove square from both sides:√ = √√

An Exponent of a Half

A square root can also be written as a fractional exponent of one-half:

but only for x greater than or equal to 0

Solving Quadratic Equations: Video Lesson

Quadratic Equation Solver

A quadratic equation of the form can be solved using the quadratic formula where:

• ‘a’ is the coefficient of of 𝑥².
• ‘b’ is the coefficient of 𝑥.
• ‘c’ is the constant term

Enter the values of ‘a’, ‘b’ and ‘c’ into the quadratic equation solver below to calculate the values of 𝑥 that satisfy the equation.

For example, the quadratic equation has ‘a’=2, ‘b’=1 and ‘c’=-3.

To solve a quadratic equation, the first step is to set one side of the equation equal to zero. The 3 ways to solve quadratic equations are factoring, completing the square or using the quadratic formula. If a quadratic equation cannot be factorised then completing the square or quadratic formula must be used.

If the quadratic has an 𝑥² coefficient greater than 1 or cannot be factorised, the quadratic formula can be used:

Here is a list of the methods that can be used to solve quadratic equations:

• If 𝑥² equals a number, square root both sides of the equation to solve it.
• If the quadratic only contains 𝑥² and 𝑥 terms, factorise the 𝑥 out and solve.
• Try to factorise by finding two numbers that add to make the coefficient of 𝑥 and multiply to make the constant term. Solve by setting each factor to equal zero.
• If the quadratic contains an 𝑥² coefficient greater than 1, try to split the 𝑥 term and factorise by grouping.
• If the quadratic cannot be factorised, complete the square and solve.
• If the quadratic cannot be factorised, use the quadratic formula .

All quadratic equations can be solved using the quadratic formula so this method will always work for solving quadratic equations.

How to Solve Quadratic Equations using Square Roots

If a quadratic equation is of the form 𝑥²=k, square root both sides. The solutions are 𝑥=±√k. For example, if 𝑥²=4 then 𝑥=±2.

This simple type of quadratic equation can be identified as there is only an 𝑥² and constant term in the equation.

In this next example, 𝑥² is equal to a non square number. We still square root both sides of the equation to obtain the solution.

For example, solve 𝑥²-5=0.

The first step is to add 5 to both sides of the equation so that 𝑥²=5.

The next step is to square root both sides of the equation so that 𝑥=±√5.

Evaluating ±√5 on a calculator, 𝑥≈-2.24 or 𝑥≈2.24.

How to Solve Quadratic Equations by Factoring

To solve a quadratic equation ‘𝑥²+b𝑥+c=0′ by factoring:

1. Think of two numbers that add to make b and multiply to make c.
2. Factor the quadratic as (𝑥+m)(𝑥+n)=0, where m and n are the two numbers from step 1.
3. Solve the quadratic by setting each bracket equal to zero.
4. The solutions are 𝑥=-m and 𝑥=-n.

Solving Quadratic Equations by Factoring: Example 1

For example, solve the quadratic equation by factoring.

Here, and .

Step 1. Think of two numbers that add to make b and multiply to make c

The numbers 1 and 3 add to make 4 and multiply to make 3.

Step 2. Factor the quadratic as (𝑥+m)(𝑥+n)=0, where m and n are the two numbers from step 1

In step 1, the two numbers that add to make 4 and multiply to make 3 were 1 and 3.

Therefore the quadratic equation can be factorised to .

Step 3. Solve the quadratic by setting each bracket equal to zero

Either or .

We find the values of 𝑥 that make each bracket equal zero.

For , the solution is .

For the solution is .

Therefore the solutions to this quadratic equation are 𝑥=-3 and 𝑥=-1.

Solving Quadratic Equations by Factoring: Examples with Negatives

To solve a quadratic by factoring, think of two numbers that add to make the coefficient of 𝑥 and multiply to make the constant term.

• If b and c are both positive, the two numbers will both be positive
• If c is positive but b is negative, the two numbers will both be negative
• If c is negative, one number will be positive and one number will be negative

It is easier to factorise quadratics if you know what signs to expect in the brackets.

Here are some examples of solving quadratic equations by factoring.

• In example 1, .

Since b and c are positive, the quadratic will factor as .

The two numbers that add to make 6 and multiply to make 8 are 4 and 2.

Therefore, the factored quadratic is and so, and .

• In example 2, .

Here, c is positive and b is negative so the quadratic will factor as .

The two numbers that add to make -5 and multiply to make 6 are -3 and -2.

Therefore the factored quadratic is and so, and .

• In example 3, .

Here c is negative so the quadratic will factor as .

The two numbers that add to make 2 and multiply to make -3 are 3 and -1.

Therefore the factored quadratic is and so, or .

• In example 4, .

Here c is negative so the quadratic will factor as .

The two numbers that add to make -3 and multiply to make -10 are 2 and -5.

Therefore the factored quadratic is and so, and .

How to Solve Quadratic Equations with Difference of Two Squares

Any quadratic equation of the form 𝑥²-a²=0 can be factored as (𝑥+a)(𝑥-a)=0 using the difference of two squares. Therefore the solutions are 𝑥=a and 𝑥=-a. For example, 𝑥²-25=0 factors as (𝑥+5)(𝑥-5)=0 and has solutions of 𝑥=5 and 𝑥=-5.

Quadratic equations of the form can be solved using the difference of two squares method.

To identify the difference of two squares, the quadratic should be made up of two terms separated by a minus sign.

For the quadratic , this is the same as .

Therefore this can be factored as and setting each bracket equal to zero to solve, and .

The difference of two squares can also be used to solve quadratics of the form . These quadratics will factor in the form which can be solved by setting each bracket equal to zero.

For example, solve using the difference of two squares.

This can be factorised as .

The solutions are therefore and .

How to Solve Quadratic Equations with a Coefficient of 𝑥² Greater than 1

To solve a quadratic equation with a leading coefficient greater than 1, use the quadratic formula or factorise and solve.

To factor a quadratic a𝑥²+b𝑥+c when a is greater than 1:

1. Split the middle term into two terms that multiply to make the value of a×c.
2. Factor the first two terms and the last two terms separately.
3. Factor the whole expression by grouping.

For example, factor and solve the quadratic .

In this quadratic, , and

Step 1. Split the middle term into two terms that multiply to make the value of a×c

The middle term of is . This will be split into two terms that when multiplied, equal the value of 2×6.

is split into because 4×3=12, which is the same as 2×6.

Step 2. Factor the first two terms and the last two terms separately

The quadratic is currently written as .

The first two terms can be factorised as and the last two terms can be factorised as .

Therefore can be written as .

Step 3. Factor the whole expression by grouping

In the equation , there is a factor in common which is .

can be grouped to get .

Step 4. Solve the quadratic by setting each bracket equal to zero

The quadratic is currently written as .

Therefore either or .

Solving these equations, or .

Examples of Solving Quadratic Equations with a>1 by Factoring

Here are some examples of solving quadratic equations with a leading coefficient greater than 1 using the factorising by grouping method.

How to Solve Quadratic Equations by Completing the Square

All quadratic equations can be solved by completing the square and then rearranging the equation for 𝑥. For example, the equation 𝑥²+4𝑥+1=0 can be written as (𝑥+2)²-3=0. Adding 3 to both sides of the equation, (𝑥+2)²=3. Taking the square root, 𝑥+2=±√3 and so, 𝑥=-2±√3.

1. Complete the square, writing 𝑥²+b𝑥+c=0 in the form
2. Move the constant term to the other side of the equals sign
3. Square root both sides
4. Solve for 𝑥

For example, complete the square and solve, .

Step 1. Complete the square

To complete the square, write in the form .

In , and .

Therefore completing the square using the above formula, becomes .

This simplifies to .

Completing the square has now been completed and now we solve the equation by rearranging for 𝑥.

Step 2. Move the constant term to the other side of the equals sign

We add 3 to both sides of the equation so that becomes

Step 3. Square root both sides

Taking the square root of both sides, becomes .

Remember, when taking the square root, there are two solutions. A positive and a negative solution.

Step 4. Solve for 𝑥

Simply subtract two from both sides so that becomes .

The two solutions are and .

Example of Solving a Quadratic Equation with a Leading Coefficient Greater than 1 using Completing the Square

If a quadratic equation has a leading coefficient greater than 1, first factor this coefficient out before completing the square.

For example, solve by completing the square.

Since the leading coefficient is 2, factor this out to get .

We can now divide both sides by 2 to get .

Now completing the square we get .

Solving for 𝑥, we get .

Examples of Solving Quadratic Equations by Completing the Square

Here are some examples of solving quadratic equations by completing the square

How to Solve Quadratic Equations with the Quadratic Formula

The quadratic formula is the most reliable method for solving a quadratic equation. It can always be used to obtain solutions.

The quadratic formula

To use the quadratic formula, first find the values of -b, b²-4ac and 2a so that these three values can be entered directly into the formula.

For example, solve the quadratic equation .

Here, , and .

Therefore , and .

Entering these values into the quadratic formula, .

Therefore and .

Solving Quadratic Equations with the Quadratic Formula Examples

Here are some examples of using the quadratic formula to solve quadratic equations:

Solving Quadratic Equations Not Written in Standard Form

To solve a quadratic equation that is not written in standard form, first rearrange it so that it is in the form a𝑥²+b𝑥+c=0. Then it can be factorised or the quadratic formula can be used to solve it.

Solving a Quadratic Equation Not Written in Standard Form: Example 1

For example, solve the quadratic equation .

The first step is to multiply both sides of the equation by the denominator of .

The equation becomes .

Expanding the brackets, .

Subtracting 4 from both sides, .

can be factorised to give .

Therefore or .

Solving a Quadratic Equation Not Written in Standard Form: Example 2

Solve the quadratic equation, .

Expanding the brackets, .

Subtracting from both sides, .

We can solve this by finding the square root of both sides so that .

Solving a Quadratic Equation when given ‘y’

When given y in a quadratic equation, the corresponding values of x can be found by rearranging the equation equal to zero and solving for x.

For example, in the equation , find the values of for which .

Substituting into the equation, .

Adding 3 to both sides, .

Therefore, and .

How to Solve Quadratic Equations by Graphing

For a quadratic equation that is set equal to zero, the solutions are the x-axis intercepts of its graph. Graphing a quadratic is one way to find the x-intercepts. These can be read off from the graph as the solutions to the quadratic equation.

For example, the graph of is shown below.

The graph has x-intercepts of and .

These are the solutions of .

Solving Quadratic Equations with Complex Solutions

For a quadratic equation of the form a𝑥²+bx+c=0, complex solutions will exist if b²-4ac<0. This is because it is not possible to obtain real answers when finding the square root of a negative number in the quadratic formula. Instead, the solutions will contain imaginary components.

For example, find the solutions to .

a=1, b=2 and c=5.

Therefore, the quadratic formula, becomes .

Since , .

Therefore simplifies to and so, .

(fill in either box above to explore more about square roots)
Answers are rounded to seven decimal places.

• positive numbers: 2
• negative numbers: -3
• imaginary numbers: -7i
• complex numbers: 8+9i

Notes:

• The square root calculator provides the principal square root (the positive square root which is most commonly used).  
  Multiplying the principal square root by -1 will provide the negative square root if needed.
• The square root of a negative number results in an imaginary number noted by the letter «i».

Square Root:

The square root of a number is a value that when multiplied by itself equals the original number.  
Example:   The square root of 9 = 3.   Thus: 3 x 3 = 9.

Where A and B are valid numbers:
A is the square root of B if:   A x A = B

• Square Root Symbol / Square Root Sign:

  The square root of a number N is commonly represented by:  

  It can also be represented by:  

  In exponential notation, it can be represented by:   N^1/2
  
  «Square root» can be abbreviated as «sqrt»   Example:   sqrt(2) = 1.4142136

  See: square root symbol if you need to add the symbol to a text document.

• How are square roots used:

  Square roots can be used:

  • to solve for the distance between two points (Pythagorean Theorem)
  • to solve for the length of a side of a right triangle (Pythagorean Theorem)
  • to find the solutions to quadratic equations
  • to find normal distribution
  • to find standard deviation
  • basically to solve for a squared variable in an equation

  If you see an equation like N² = 27 , you can solve for N by taking the square root of 27 which
  gives N = 5.1961524

How to Calculate the Square Root of:

1. A Positive Number:
   
       The square root of a positive number can be calculated by:
   1. square root calculator above
   2. handheld calculator
   3. spreadsheet
   4. square roots without a calculator

      
      

2. A Negative Number:
   
   To calculate the square root of a negative number, find the square root of the same positive number and multiply by «i». ( where i represents an imaginary number and i = square root of -1)

   Example: square root of -5
   
   = (square root of 5) x (square root of -1)
   
   = (square root of 5) x (i)
   
   = 2.236068 x i
   
   = 2.236068i
   
   

3. An Imaginary Number:
   
   To calculate the square root of an imaginary number, find the square root of the number as if it were a real number (without the i) and then multiply by the square root of i (where the square root of i = 0.7071068 + 0.7071068i)

   Example: square root of 5i
   
   = (square root of 5) x (square root of i)
   
   = (2.236068) x (0.7071068 + 0.7071068i)
   
   = 1.5811388 + 1.5811388i
   
   
   

4. A Complex Number:
   
   To find the square root of a complex number, use the following equation:

   Square root (a + bi) = c + di
   
   Where:
   c = (1/square root of 2) x square root of [ (square root of(a²+b²)) + a ]
   
   d = (sign of b/square root of 2) x square root of [ (square root of(a²+b²)) — a ]

   Example: the square root of 3-5i = c + di
   
   c = (1/square root of 2) x square root of [ (square root of(3²+(-5)²)) + 3 ]
   
   c = 2.1013034
   d = (-1/square root of 2) x square root of [ (square root of(3²+(-5)²)) — 3 ]
   d = -1.1897378
   Thus: square root of 3-5i = 2.1013034 — 1.1897378i

Need to calculate the square root of a number with a handheld calculator or looking to buy a new calculator?

Most handheld calculators have a square root function.
Below is a review of some that are recommended and how to use them.

Graphing Calculator:

• Texas Instruments TI-84 Plus Graphing Calculator

  

  To take the square root of a number, press [2ND] (the secondary function key) and then [] (the radical symbol key which is used to take the square root of a number) and then the number that you want to find the square root of and then the [ENTER] key.

  (Note: This same method will also work with TI-83 and TI-81 calculators)

  (To see what the graph looks like on this calculator,
  click the show graph button below the calculator image on this page.)

  Pros:
  It can be used on many college entrance exams (check your exam criteria).

  It is a popular calculator. (If you need help, the likelihood of finding someone who knows how to use it is higher).

  The display shows seven lines of input/output. Long equations can be viewed and checked. (This is a nice benefit that graphing calculators have compared to scientific calculators that may only have a single line display.) Another benefit of having a large display is you can compare your current answer to past answers that are still on the screen. This can often help you discover an input error that may have otherwise gone unnoticed.

  Cons:
  It is bulkier than a scientific calculator.
  It costs around $85 (USD) more than a scientific calculator.

  Price:
  Best price for this calculator as of 9-2-2014 is around $94.00 (USD).

• Casio Graphing Calculator (fx-9750GII)

  

  To take the square root of a number, press [SHIFT] and then [] (the radical symbol is above the x² key) and then the number that you want to find the square root of and then the [EXE] key.

  (To see this graph, click the show graph button below the calculator image on this page.)

  Pros:
  The cost is half the price of a TI-84 calculator.

  It is a little smaller than the TI-84 calculator.

  It can be used on many college entrance exams (check your exam criteria).

  The display shows seven lines of input/output.

  Cons:

  It is not as popular as the TI-84 calculator. (It may be harder to find someone to help if you have a question about how to use the calculator.)

  Price:
  Best price as of 9-2-2014 is around $42.74 (USD).

Scientific Calculator:

• Texas Instruments TI-36X Pro Scientific Calculator

  

  To take the square root of a number, press [2ND] (the secondary function key) and then [] (the radical symbol key which is used to take the square root of a number) and then the number that you want to find the square root of and then the [ENTER] key.
  Note:  If your calculator is in «Math Print» mode, the display will show as the answer. To convert this answer to a decimal number, press the [<>~] key (the «Answer Toggle» key) which is the key above the [ENTER] key.

  Pros:
  It is good if a graphing calculator is not permitted.
  It is smaller and lighter than a graphing calculator.
  The display shows four lines of input/output. Some scientific calculators only show one line of input/output.

  Cons:
  The symbols shown on the function keys ( + , — , etc.) may be hard to see because they are the same silver color as the keys.

  Price:
  Best price for this calculator on 9-2-2014 is around $19.99 (USD).

Math Help / Math Tutor

If you need help with math:

• There are a lot of online resources that are free to use and are available when you need them. Some sites have online courses, instructional videos, and even math games to help you learn more about math.
• Ask someone who is good at math to help. If you can’t find anyone who can help, a math teacher at a local school may be able to help or recommend a math tutor in your area.
• A local library may be able to help not only with informational books but they may be able to recommend a math tutor also.
• There are several websites that can help you find a local tutor if you would like in-person tutoring. Also, some tutors are able to help from a remote location if needed. Prices are typically between $10 to $50 (USD) per hour. Always research and try to find reviews, ratings, or feedback from others who have used a particular tutor before making a selection.