# How do you divide (10sqrt10)/(5sqrt5)?

$2 \sqrt{2}$
$\frac{10 \sqrt{10}}{5 \sqrt{5}} = \frac{5 \cdot 2 \cdot \sqrt{5 \cdot 2}}{5 \sqrt{5}} = \frac{5 \cdot 2 \cdot \sqrt{5} \cdot \sqrt{2}}{5 \sqrt{5}} = 2 \sqrt{2}$