# How do you rationalize the denominator sqrt(5/6)?

Multiply both numerator and denominator by $\sqrt{6}$ :
$\sqrt{\frac{5}{6}} = \frac{\sqrt{5}}{\sqrt{6}} = \frac{\sqrt{5}}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}$
$= \frac{\sqrt{5} \sqrt{6}}{{\left(\sqrt{6}\right)}^{2}} = \frac{\sqrt{5 \cdot 6}}{6}$
$= \frac{\sqrt{30}}{6}$