# How do you rationalize the denominator sqrt(5/8)?

$\frac{\sqrt{40}}{8} = \frac{\sqrt{10}}{4}$
$\sqrt{\frac{5}{8}} = \frac{\sqrt{5}}{\sqrt{8}} = \frac{\sqrt{5} \cdot \sqrt{8}}{\sqrt{8} \cdot \sqrt{8}} = \frac{\sqrt{40}}{8} = 2 \cdot \frac{\sqrt{10}}{8} = \frac{\sqrt{10}}{4}$