Radical Equations Calculator

Radical Equations Calculator calculates the variable value for the given radical equation. The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, n^th root. Thus, any number or expression that uses a root is known as a radical.

What is Radical Equations Calculator?

Radical Equations Calculator is an online tool that helps to calculate the variable value for the given radical equation. This online radical equations calculator helps you to calculate the variable value for the given radical equation in a few seconds. To use this radical equations calculator, please enter the radical equation in the given input box.

Radical Equations Calculator

NOTE: Enter radical equation in terms of 'x' only.

How to Use Radical Equations Calculator?

Please follow the steps below to calculate the variable value using an online radical equations calculator:

• Step 1: Go to Cuemath’s online radical equations calculator.
• Step 2: Enter the radical equation in the given input box of the radical equations calculator.
• Step 3: Click on the "Solve" button to calculate the variable value for the given radical equation.
• Step 4: Click on the "Reset" button to clear the field and enter the new radical equation.

How Radical Equations Calculator Works?

Radical equations are defined as an equation in which the variable value x appears under the radical (or √). To solve the radical equation, the radical sign can be removed by squares on both sides.

Let us understand this with the help of the following example.

Solved Examples on Radical Equations

Example 1:

Solve √(x + 1) = 2 and verify it using the radical equations calculator?

Solution:

Given: Equation is √(x + 1) = 2

To solve the radical equation, the radical sign can be removed by squares on both sides.

√(x + 1)² = 2²

x + 1 = 4 

x = 3

Example 2:

Solve √(x + 4) = 7 and verify it using the radical equations calculator?

Solution:

Given: Equation is √(x + 4) = 7

To solve the radical equation, the radical sign can be removed by squares on both sides.

√(x + 4)² = 7²

x + 4 = 49 

x = 45

Example 3:

Solve √(x - 11) = 15 and verify it using the radical equations calculator?

Solution:

Given: Equation is √(x - 11) = 15

To solve the radical equation, the radical sign can be removed by squares on both sides.

√(x - 11)² = 15²

x - 11 = 225 

x = 236

Similarly, you can use the radical equations calculator and find the variable value for

• √(x + 1) = 5
• √(x - 7) = 10

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