Solve the equation by using the square root property calculator

Square Root Equation Calculator is a free online tool that displays the variable for the given square root equation. BYJU’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.

\(\begin{array}{l}\sqrt[n]{x}=y\end{array} \)

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

Stay tuned, while we are in the process of adding the Square Root Property Calculator.

Square Root Property Calculator is a free online tool that displays the value of the variable for using square root property. BYJU’S online square root property calculator tool makes the calculation faster, and it displays the variable value in a fraction of seconds.

How to Use the Square Root Property Calculator?

The procedure to use the square root property calculator is as follows:
Step 1: Enter the equation in the respective input field
Step 2: Now click the button “Solve” to get the result
Step 3: Finally, the variable value using square root property will be displayed in the new window

What is Meant by Square Root Property?

In Mathematics, using the square root property we can solve the equation. It states that, if we have an equation with perfect squares on both the sides, take the square root on both the sides and bring the variables and constant separately to find the variable value. This property helps to remove the perfect squares to simplify the equation.

Example: 3x^2-2x-1=0

Step-By-Step Example

Learn step-by-step how to solve quadratic equations!

Example (Click to try)


Choose Your Method

There are different methods you can use to solve quadratic equations, depending on your particular problem.

Solve By Factoring

Example: 3x^2-2x-1=0

Complete The Square

Example: 3x^2-2x-1=0
(After you click the example, change the Method to 'Solve By Completing the Square'.)

Take the Square Root

Example: 2x^2=18

Quadratic Formula

Example: 4x^2-2x-1=0

About quadratic equations

Quadratic equations have an x^2 term, and can be rewritten to have the form: ax2+bx+c=0

Need more problem types? Try MathPapa Algebra Calculator

1

Solved example of equations with square roots

$\sqrt{3t}-2=0$

2

The power of a product is equal to the product of it's factors raised to the same power

$\sqrt{3}\sqrt{t}-2=0$

3

We need to isolate the dependent variable $t$, we can do that by subtracting $-2$ from both sides of the equation

$\sqrt{3}\sqrt{t}=2$

4

Eliminate the $\sqrt{3}$ from the left side, multiplying both sides of the equation by the inverse of $\sqrt{3}$

$\sqrt{t}=\frac{2\sqrt{3}}{3}$

5

Removing the variable's exponent

$t=\frac{4}{3}$

Final Answer

$t=\frac{4}{3}$

How do you solve an equation using the square root property?

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

What is the square √ 64?

The square root of 64 is 8, i.e. √64 = 8.