# How do you simplify the expression  (10sqrt2)/sqrt8?

Apr 28, 2016

$= 5$

#### Explanation:

$\frac{10 \sqrt{2}}{\sqrt{8}}$

color(blue)(sqrt8 = sqrt (2*2*2) = 2 sqrt2

$\frac{10 \sqrt{2}}{\textcolor{b l u e}{2 \sqrt{2}}}$

$= \frac{10 \cancel{\sqrt{2}}}{\textcolor{b l u e}{2 \cancel{\sqrt{2}}}}$

$= \left(\frac{10}{2}\right)$

$= 5$