Simplify Radical Expressions Calculator
Simplify square roots (radicals) with step-by-step explanation. Enter a number under the radical to get its simplest radical form.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator simplifies square roots (radicals) by factoring the radicand into prime factors and extracting perfect squares.
- Enter a positive integer in the "Radicand" field (e.g., 72). Only whole numbers ≥ 1 are accepted.
- Click the "Simplify" button or press Enter on your keyboard.
- The result shows the simplified radical in the form a√b, where a is the integer outside the radical and b is the integer inside. If the radical simplifies to a whole number, only that number is shown.
- Below the result, a step-by-step explanation details the prime factorization, pairing of factors, and final simplification.
Example: Enter 72 → Result: 6√2 (since √72 = √(36×2) = 6√2).
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Frequently Asked Questions
Simplifying a radical means expressing the square root in its simplest form by factoring out perfect squares from the radicand.
No, the calculator only accepts positive integers. Negative radicands are not supported as they involve imaginary numbers.
The calculator factors the radicand into prime factors, pairs identical factors, and moves each pair outside the radical as a single factor.
