Square Root Calculator

Calculate Square Root
$$\sqrt{a}$$
Enter the ‘a’ value =

Square Root =

The square root calculator is a free online tool that displays the square root of the given number. CoolGyan online square root calculator tool makes the calculations faster and easier where it gives the square root of the given number in a fraction of seconds.

How to Use the Square Root Calculator?

The procedure to use the square root calculator is as follows:

Step 1: Enter the number in the respective input field

Step 2: Now click the button ”Find Square Root” to get the output

Step 3: The square root of the given number will be displayed in the output field

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 âˆš is used to indicate the square root. For example, âˆš16 = 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.

Standard Form

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

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

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

Solved Examples on Square Root

Example 1:

Find the square root of 625

Solution:

Given: To find the square root of 625

âˆš625 can be written as

âˆš625 = âˆš(25 × 25)

= âˆš(25)2

Eliminate square and square root, we get

âˆš625 = 25

Hence, the square root of 625 is 25.

Example 2:

Determine the value of 4 âˆš16

Solution:

Given: expression is 4 âˆš16

âˆš16 = âˆš(4 × 4)

âˆš16 = âˆš(4)2

Now, cancel out square and square root, we get

âˆš16 = 4

Now substitute âˆš16 = 4 in the given expression

Therefore, 4 âˆš16 = 4 × 4 = 16

Hence, 4 âˆš16 = 16

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: âˆš(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 42 , which is equal to 16
The square root of 4 is 2.