# How would you simplify sqrt(7/2)?

$\sqrt{\frac{7}{2}} = \frac{\sqrt{14}}{2}$
$\sqrt{\frac{7}{2}} = \frac{\sqrt{7}}{\sqrt{2}} = \frac{\sqrt{7}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{7 \cdot 2}}{2} = \frac{\sqrt{14}}{2}$