# How do you divide (8sqrt15)/(5sqrt2)?

Since 15 and 2 are not neatly dividable, just first get rid of the $\sqrt{2}$ under the bar, by multiplying top and bottom by $\sqrt{2}$
$\frac{8 \sqrt{15}}{5 \sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{8 \sqrt{15 \cdot 2}}{5 {\sqrt{2}}^{2}} = \frac{8 \sqrt{30}}{10} = \frac{4}{5} \sqrt{30}$