The Math Meridian
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Simplify square roots

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Learn it Split the number into the biggest perfect square times what is left: $\sqrt{ab} = \sqrt{a}\sqrt{b}$. A radical is simplified when no square factor is left inside.

Example: Simplify $3\sqrt{72}$

  1. $72 = 36 \times 2$ (36 is the biggest square factor).
  2. $\sqrt{72} = \sqrt{36}\sqrt{2} = 6\sqrt{2}$.
  3. $3 \times 6\sqrt{2} = 18\sqrt{2}$.

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