Simplify Radicals Calculator
Simplify any radical expression to its simplest form with step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator simplifies radicals (roots) by extracting perfect powers. Follow these steps:
- Enter the Radicand – the number under the root (e.g., 72). Must be a positive integer.
- Enter the Index – the degree of the root (e.g., 2 for square root, 3 for cube root). Must be an integer ≥ 2.
- Click "Simplify" – the calculator will factor the radicand and extract any perfect nth powers.
Result: Shows the simplified radical as a coefficient (if any) times the remaining root. Steps explain what was extracted.
Example: Radicand = 72, Index = 2 → Result: 6√2 (since 72 = 36 × 2, and √36 = 6).
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Frequently Asked Questions
A simplified radical has no perfect power factors under the root, and the radicand is as small as possible.
Factor the radicand into prime factors, group them according to the index, and extract perfect powers outside the root.
Yes, this calculator supports any positive integer index greater than or equal to 2.
