# How do you simplify (6sqrt6)/sqrt8?

$\frac{6 \sqrt{6}}{\sqrt{8}}$
$\frac{6 \sqrt{2.} \sqrt{3}}{\sqrt{4.} \sqrt{2}}$
$= \frac{6 \cancel{\sqrt{2.}} \sqrt{3}}{2. \cancel{\sqrt{2}}}$
$= \frac{6 \sqrt{3}}{2}$
$= 3 \sqrt{3}$