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Can radical 20 be simplified?

Published in Math Simplification 1 min read

Yes, radical 20 (√20) can be simplified.

Here's how:

√20 can be broken down into its factors. We are looking for perfect square factors to simplify the radical.

  • Find the factors: The factors of 20 are 1, 2, 4, 5, 10, and 20.
  • Identify perfect square factors: Among these factors, 4 is a perfect square (2 x 2 = 4).
  • Rewrite the radical: √20 can be rewritten as √(4 x 5).
  • Simplify: √(4 x 5) = √4 x √5 = 2√5

Therefore, the simplified form of √20 is 2√5.