Square root calculator

Square Root <a href="https://studysaga.in/calculator/">Calculator</a>

Square Root calculator

Type a value in the box field to convert the value to square root of the input value:

The SQRT is:

The Square Root Calculator is used to find the square root value of any number.

How to Use this Square Root Calculator?

If you want to find the square root value of any number then this calculator is really going to help you, the procedure to use this calculator is very simple , 

That is put the input value for that number you want to find the square root value (power of the number is 0.5 or 1/2)

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.

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Standard Form of square root :

The standard form to represent the square root is given below:

The square root of a function is defined as: f(x) = √x

In other words, it is defined by √(x.x) = √(x)2 = x

Solved Examples on Square Root

Example 1:

Find the square root of 25

Solution:

Given: To find the square root of 25

√25 can be written as

√25 = √(5 × 5)

= √(5)2

Eliminate square and square root, we get

√25 = 5

Hence, the square root of 25 is 5.

Example 2:

Determine the value of 2√4

Solution:

Given: expression is 2√4

√4 = √(2×2)

√4 = √(2)2

Now, cancel out square and square root, we get

√4 = 2

Now substitute √4 = 2 in the given expression

Therefore, 2√4 = 2 × 2 = 4

Hence, 2√4 = 4

Frequently Asked Questions on Square Root Calculator

What is meant by a perfect square?
The perfect square of a number is defined as the squares of whole numbers. The square of the number is given as the number times itself. Some of the examples of the perfect squares are 1, 4, 9, 16, 25, 36, and so on.

What is the formula for square root?
The formula to find the square root of a number is given as: √(x^2) = x

How do you find the square root for non-perfect square numbers?
If the given number is not a perfect square number, the method called long division method is used.

What is the value of the square root of 2?
As the number 2 is not a perfect square, the value for the square root of 2 can be found using the long division method. The value of the square root of 2 is approximately equal to 1.414.

Write down the square and square root value of 4.
The square of 4  is equal to 16
The square root of 4 is 2.

What is the value of the square root of 16 ?

The value of the square root of 16 is equal to 4.

What is the value of the square root of 64 ?

The value of the square root of 64 is equal to 8.

What is the value of the square root of 25 ?

The value of the square root of 25 is equal to 5.

What is the value of the square root of 100 ?

The value of the square root of 100 is equal to 10.

What is the value of the square root of 20 ?

The value of the square root of 20 is equal to  4.47213595499958.

What is the value of the square root of 8 ?

The value of the square root of 8 is equal to 2.8284271247461903.

What is the value of the square root of 36 ?

The value of the square root of 36 is equal to 6.

What is the value of the square root of 5 ?

The value of the square root of 5 is equal to 2.23606797749979.

What is the value of the square root of 3 ?

The value of the square root of 3 is equal to 1.7320508075688772.

What is the value of the square root of 116 ?

The value of the square root of 116 is equal to 10.770329614269007.

What is the value of the square root of 32 ?

The value of the square root of 32 is equal to 5.656854249492381.

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What is the value of the square root of 676 ?

The value of the square root of 676 is equal to 26.

What is the value of the square root of 160 ?

The value of the square root of 160 is equal to 12.649110640673518.

What is the value of the square root of 144 ?

The value of the square root of 144 is equal to 12.

What is the value of the square root of 106 ?

The value of the square root of 106 is equal to 10.295630140987.

Square Root From 1 to 50

Here is the list of the square root of numbers from 1 to 50. Student can use this table to do calculations.

The sqrt of 1  =  1

The sqrt of 2  =  1.414

The sqrt of 3  =  1.732

The sqrt of 4  =  2

The sqrt of 5  =  2.236

The sqrt of 6  =  2.449

The sqrt of 7  =  2.645

The sqrt of 8  =  2.828

The sqrt of 9  =  3

The sqrt of 10  =  3.162

The sqrt of 11  =  3.316

The sqrt of 12  =  3.464

The sqrt of 13  =  3.605

The sqrt of 14  =  3.741

The sqrt of 15  = 3.872

The sqrt of 16  =  4

The sqrt of 17  =  4.123

The sqrt of 18  =  4.242

The sqrt of 19  =  4.358

The sqrt of 20  =  4.472

The sqrt of 21  =  4.582

The sqrt of 22  = 4.690

The sqrt of 23  =  4.795

The sqrt of 24  =  4.898

The sqrt of 25  =  5

The sqrt of 26  =  5.099

The sqrt of 27  =  5.196

The sqrt of 28  =  5.291

The sqrt of 29  =  5.385

The sqrt of 30  =  5.477

The sqrt of 31  =  5.567

The sqrt of 32  =  5.656

The sqrt of 33  =  5.744

The sqrt of 34  =  5.830

The sqrt of 35  =  5.916

The sqrt of 36  =  6

The sqrt of 37  =  6.082

The sqrt of 38  =  6.164

The sqrt of 39  =  6.244

The sqrt of 40  =  6.324

The sqrt of 41  =  6.403

The sqrt of 42  =  6.480

The sqrt of 43  =  6.557

The sqrt of 44  =  6.633

The sqrt of 45  =  6.708

The sqrt of 46  =  6.782

The sqrt of 47  =  6.855

The sqrt of 48  =  6.928

The sqrt of 49  =  7

The sqrt of 50  =  7.071

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