Simplify radicals by extracting perfect powers and compare the exact form with the decimal approximation.
Last updated: June 2026 | By Patchworkr Team
A radical expression represents an index root, such as a square root, cube root, or higher root. Simplifying a radical means factoring out any perfect powers that can be written outside the radical symbol.
This calculator focuses on whole-number radicands and integer indices so the result stays exact and easy to verify.
For sqrt(72), the simplified form is 6 sqrt(2).
No. Index 1 does not form a radical expression, so the calculator requires an index of at least 2.
Not in this version. It is designed for non-negative integer radicands.
The result is 0 because zero stays zero under radical simplification.
Yes. Enter 3 as the index to simplify cube roots.
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