How do you simplify sqrt108/sqrt3?

Jan 15, 2017

$\frac{\sqrt{108}}{\sqrt{3}} = 6$

Explanation:

Use the identity:

$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$

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

So:

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