Radical Simplify Calculator


What is a Radical Simplify Calculator?

Radical Simplify Calculator is an online tool that calculates the simplified radical expression of entered values.

Cuemath's 'Radical Simplify Calculator' helps you to find the root of the number within a few seconds.

How to Use the Radical Simplify Calculator?

Follow these steps which will help you to use the calculator.

  • Step 1: Enter the value of a, x and n value in the provided boxes for the expression a ⁿ√x.
  • Step 2: Click on "Calculate" to find the simplified value of the radical.
  • Step 3: Click on "Reset" to clear the values and enter the new values.

How to Simplify the Radicals?

The following steps would help in simplifying radicals.

  • Step I: Write the number within the radical as the product of its prime factors.
  • Step II: Based on the root of the radical take one factor out for n similar radicals within the radical.
  • Step III: Find the product of the numbers outside the radical and the product of the numbers within the radical and write them together.

Let us try to understand the simplification of radicals with the help of an example.

\(\sqrt[3] 80= \sqrt [3]{2 \times 2 \times 2 \times 2 \times 5} =2\sqrt[3]{2 \times 5} = 2\sqrt[3]10 \)

Solved Example:

Simplify the radical \(4\sqrt[4]96 \).

Solution:  

Let us write the prime factor of the number within the radical and simplify it further.

\(4\sqrt[4] 96= 4\sqrt [4]{2 \times 2 \times 2 \times 2 \times 2 \times 3} =4x2\sqrt[4]{2 \times 3} = 8\sqrt[4]6\)

Now, try the calculator to simplify the following radicals.

  • \(4\times \sqrt[5] 800\) 
  • \(3\times \sqrt[3] {135}\)

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