# Square Root Equation Calculator

Square Root Equation Calculator is a free online tool that displays the variable for the given square root equation. CoolGyan’S online square root equation calculator tool performs the calculation faster and it displays the unknown variable value in a fraction of seconds.

## How to Use the Square Root Equation Calculator?

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

Step 1: Enter the equation in the input field

Step 2: Now click the button “Solve” to get the variable value

Step 3: Finally, the solution for the given square root equation will be displayed in the output field

### What is Meant by Square Root Equation?

In mathematics, the square root equation is defined as an equation which is present inside the radical or the root symbol. It means that the radicand contains the equation which usually has an independent variable (say x). In the square root equation, the radical should be a square root. It means that the radical equation or the square root equation is of the form √x = y. While solving any square root equation, the square root can be removed by taking the square on both the sides of the equation. After the elimination of the square root, the equation can be solved easily. It is noted that the radical symbol with index “n” of an equation, can be solved by taking the nth power of the equation on both sides.

$$\sqrt[n]{x}=y$$

The nth root of the equation becomes,

x = yn

### Solved Example on Square Root Equation

Example:

Solve √(2x+2) = 4

Solution:

Given that, the square root equation is √(2x+2) = 4

To remove the square root symbol on the left side of the equation, take square on both the sides, then the given square root equation becomes,

[√(2x+2)]2 = 42

Now, cancel the square and square root on L.H.S of the equation

2x+2 = 16

2x = 16-2

2x = 14

x = 14/2

x= 7