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

May 19, 2017

$\frac{\sqrt{5}}{\sqrt{8}}$
multiply and divide by $\sqrt{8}$
$\frac{\sqrt{5}}{\sqrt{8}} \cdot \frac{\sqrt{8}}{\sqrt{8}} = \frac{\sqrt{5} \sqrt{8}}{8} = \frac{\sqrt{40}}{8} = \frac{\sqrt{4 \cdot 10}}{8} = 2 \frac{\sqrt{10}}{8} = \frac{\sqrt{10}}{4}$