Square Root Calculator

Calculate Square Root

\(\begin{array}{l}\sqrt{a}\end{array} \)

Enter the ‘a’ value =

Square Root =

The square root calculator is a free online tool that displays the square root of the given number. BYJU’S 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 √ 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.

Standard Form

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 625

Solution:

Given: To find the square root of 625

√625 can be written as

√625 = √(25 × 25)

= √(25)²

Eliminate square and square root, we get

√625 = 25

Hence, the square root of 625 is 25.

Example 2:

Determine the value of 4√16

Solution:

Given: expression is 4√16

√16 = √(4×4)

√16 = √(4)²

Now, cancel out square and square root, we get

√16  = 4

Now substitute √16  = 4 in the given expression

Therefore,  4√16 = 4 × 4 = 16

Hence, 4√16 = 16