Radical Simplifier — Simplify Square Roots & nth Roots (Free)

Use this free radical simplifier to write a root in simplest form. Enter a radicand (and an optional coefficient or root index) and the tool pulls out the largest perfect power — turning √72 into 6√2 — and shows the factoring steps along with the decimal value.

How to use the radical simplifier

1. Enter the number under the radical, plus an optional outside coefficient.
2. Choose the root index (2 for square root, 3 for cube root, and so on).
3. Read the simplified radical, the steps, and the decimal value.

How to simplify a radical

Find the largest perfect n-th power that divides the radicand, take its root out front, and leave the rest inside. For example 72 = 36 × 2, so √72 = √36 · √2 = 6√2.

Frequently asked questions

How do you simplify a square root?

Factor out the largest perfect square. Since 72 = 36 × 2, √72 = 6√2.

Can it simplify cube roots and higher?

Yes — set the root index. For a cube root it pulls out perfect cubes, e.g. ³√54 = 3·³√2.

What if the number is already simplest?

The tool tells you when no perfect power can be factored out, so the radical is already in simplest form.

Read the full lesson: learn the method step by step.