# How do you simplify sqrt(50/3)+sqrt(3/6)?

$\sqrt{\frac{3}{6}} = \sqrt{\frac{1}{2}} = \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}$
$\sqrt{\frac{50}{3}} = \frac{5 \sqrt{2}}{\sqrt{3}} = \frac{5 \sqrt{6}}{3}$
$\frac{\sqrt{2}}{2} + \frac{5 \sqrt{6}}{3} = \frac{3 \sqrt{2}}{6} + \frac{10 \sqrt{6}}{6} = \frac{3 \sqrt{2} + 10 \sqrt{6}}{6}$