Simplify Radical Calculator

Simplify any square root or nth root into a √b form.

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How to Use the Simplify Radical Calculator

  1. Enter the number under the root (the radicand).
  2. Enter the root index (2 for square root, 3 for cube root, etc).
  3. Click Calculate to see the simplified form and decimal value.

Formula

ⁿ√n = a × ⁿ√b, where aⁿ is the largest perfect power dividing n
√ 72

Worked Example

√72 simplifies to 6√2, since 72 = 36 × 2 and √36 = 6.

About This Calculator

This calculator factors out the largest perfect square (or nth power) from under the radical, giving you the simplest exact form alongside the decimal approximation.

Frequently Asked Questions

How does this simplify radicals?

It factors the number under the radical to find perfect square factors, then pulls those out — e.g. √50 = 5√2.

What does it mean for a radical to be simplified?

No perfect square factors remain under the radical, and there's no radical in a denominator.

Can you simplify radicals with variables?

Yes, the same principle applies to variables raised to even powers.

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