Radical Simplifier

What this tool does

Calculate radical simplifier instantly in your browser. Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

How to use the Radical Simplifier

1. Enter or select radicand (whole number).
2. Enter or select root index.
3. Read the calculated result; change any measurement to compare alternatives.

Formula

Factor the radicand, pull out every perfect power matching the index (each group of index identical prime factors comes out as one factor), and leave the rest under the radical.

radicand

Radicand (whole number)

index

Root index

Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

Worked example

For radical simplifier, the following measurements illustrate the exact method: Radicand (whole number): 72; Root index: 2.

Results explained

Simplified radical

Simplified radical from the formula above. Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

Coefficient (outside)

Coefficient (outside) from the formula above. Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

Remaining radicand

Remaining radicand from the formula above. Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

Decimal value

Decimal value from the formula above. Works on whole-number radicands; e.g. √72 = √(36×2) = 6√2 because 36 is the largest perfect square dividing 72.

Frequently asked questions