# How do you simplify (10sqrt6)/(5sqrt3)?

$2 \sqrt{2}$
$\frac{10 \sqrt{6}}{5 \sqrt{3}}$
$= \frac{10}{5} \times \frac{\sqrt{6}}{\sqrt{3}}$
$= 2 \times \frac{\cancel{\sqrt{3}} \times \sqrt{2}}{\cancel{\sqrt{3}}}$