Square Root Calculator with Variables

Square Root Calculator helps to calculate square root of a given number with a variable x in it. A symbol that doesn't have a fixed value is called a variable in Math. It can take any value.

What is Square Root Calculator with Variables?

A 'Square Root Calculator with Variables' is an online tool which finds the square root of a given number with a variable 'x'. 'Square Root Calculator with Variables' helps you to find the square root of a given number with a variable 'x' within a few seconds.

Square Root Calculator with Variables

NOTE: Enter numbers up to 4 digits and exponent value up to 2 digits.

How to Use the Square Root Calculator with Variables?

Please follow the steps below to use the square root calculator with variables.

• Step I: Enter the number and the exponent value for which we need to calculate the square root. 
• Step II: Click on the 'Calculate' button to find the square root
• Step III: Click on the 'Reset' button to enter new values.

How to Find the Square Root of Variables?

The square root of variables can be found by two simple steps.

• Step - I: Find the factors of the given number and the variable.
• Step - II:  Find the square root by taking only one factor for every two factors.

Let us understand this by solving a few examples.

Solved Examples on Square Root Calculator with Variables

Example:

Find the square root of the following expressions.

1. 64x⁸, 2. 225x⁴, 3. 784x²

Solution :

The solution for square root of the given expression is as follows.

1. \(\begin{align}\sqrt{64x^8} & = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times x \times x \times x \times x \times x \times x \times x \times x} \\&= 2 \times 2 \times 2 \times x \times x \times x \times x\\& = 8x^4 \end{align}\)

2. \(\begin{align}\sqrt{225x^4} & = \sqrt{3 \times 3 \times 5 \times 5 \times x \times x \times x \times x } \\&= 3 \times 5 \times x \times x\\& = 15x^2 \end{align}\)

3. \(\begin{align}\sqrt{784x^2} & = \sqrt{2 \times 2 \times 2 \times 2 \times 7 \times 7 \times x \times x } \\&= 2 \times 2 \times 7 \times x\\& = 28x \end{align}\)

Now, try the calculator to find the square root of the following expressions.

• 400x¹²
• 900x³⁰
• 289x¹²

☛ Related Articles:

• Variables, Constants and Expressions
• Square Roots

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