What is the square root of 216?

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What is the square root of 216?

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Answer 1 · 2015-10-13T16:15:04

$6 \sqrt{6}$ $6sqrt6$

Explanation:

Start by factoring 216 completely. Just simplify it afterwards.

$\sqrt{216}$ $sqrt216$
$= \sqrt{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$ $=sqrt(2*2*2*3*3*3)$
$= \sqrt{2^{2} \cdot 2 \cdot 3^{2} \cdot 3}$ $=sqrt(2^2*2*3^2*3)$
$= (2 \cdot 3) \sqrt{2 \cdot 3}$ $=(2*3)sqrt(2*3)$
$= 6 \sqrt{6}$ $color(red)(=6sqrt6)$

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What is the square root of 216?

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