Simplest Radical Form Calculator

Simplify any radical expression to its simplest radical form. Enter a number or expression under the radical (square root) to get the simplified result with step-by-step explanation.

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How to use this tool?

This calculator simplifies square roots to their simplest radical form. It works with non-negative integers.

  1. Enter the radicand – Type a non-negative integer (e.g., 72) or an expression like sqrt(72) into the input field. Variables are not supported.
  2. Click "Simplify" (or press Enter) to compute the result.
  3. Read the result – The simplified radical appears in the green box (e.g., 6√2 for √72).
  4. Review the steps – Below the result, a step-by-step explanation shows how perfect square factors were extracted.
  5. Example: Enter 72 → Output: 6√2 with steps: "Factor out 6²: 6√2."

    Note: Only square roots (√) are supported. The input must be a non-negative integer; negative numbers or variables will show an error.

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Frequently Asked Questions

Simplest radical form is a way to express a square root where the radicand has no perfect square factors other than 1. For example, √72 simplifies to 6√2.

Enter a non-negative integer or an expression like 'sqrt(72)' in the input field and click 'Simplify'. The calculator will factor out perfect squares and show the simplified result.

Currently, only non-negative integers are supported. Variables like x are not supported.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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