# How do you simplify  ( sqrt 24)/ (12 sqrt 8)?

$\frac{\sqrt{3}}{12}$
$\sqrt{24}$ can be split up to $\sqrt{3} \cdot \sqrt{8}$
So $\frac{\sqrt{24}}{12 \sqrt{8}}$ can be expressed as $\frac{\sqrt{3} \cdot \sqrt{8}}{12 \sqrt{8}}$
Cancel out the $\sqrt{8}$ and you get $\frac{\sqrt{3}}{12}$