How do you simplify $\frac{\sqrt{108}}{\sqrt{3}}$ $sqrt108/sqrt3$ ?

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Answer 1 · 2017-01-15T12:34:15

$\frac{\sqrt{108}}{\sqrt{3}} = 6$ $sqrt(108)/sqrt(3) = 6$

Use the identity:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$ $sqrt(a/b) = sqrt(a)/sqrt(b)$

(which holds for any $a, b > 0$ $a, b > 0$ )

So:

$\frac{\sqrt{108}}{\sqrt{3}} = \sqrt{\frac{108}{3}} = \sqrt{36} = \sqrt{6^{2}} = 6$ $sqrt(108)/sqrt(3) = sqrt(108/3) = sqrt(36) = sqrt(6^2) = 6$

How do you simplify √108√3sqrt108/sqrt3?