# How do you rationalize the denominator and simplify sqrt(10)/(sqrt(5)-2)?

$\frac{\sqrt{10}}{\sqrt{5} - 2}$
$= \frac{\sqrt{10}}{\sqrt{5} - 2} \cdot \frac{\sqrt{5} + 2}{\sqrt{5} + 2}$
$= \frac{\sqrt{10} \cdot \sqrt{5} + 2 \sqrt{10}}{5 - 4}$
$= 5 \sqrt{2} + 2 \sqrt{10}$