Radical Simplifier

Simplify square roots and nth roots by finding the largest perfect power factors.

Concept Overview

Simplifying a radical means rewriting it so that the number under the root sign (the radicand) contains no perfect square factors (for square roots) other than 1.

Perfect Squares

Recognizing perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100...) is the key to simplifying radicals quickly.

Product Property

The square root of a product is equal to the product of the square roots: √(a * b) = √a * √b.

Step-by-Step Example

Simplify: √50

  1. Find the largest perfect square factor: 25 is a factor of 50.
  2. Rewrite the radicand: √(25 * 2)
  3. Apply the product property: √25 * √2
  4. Simplify the perfect square: 5√2
Input Values

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