# How do you simplify (3sqrt28)/sqrt48?

$\frac{\sqrt{7}}{2}$
$\frac{3 \sqrt{28}}{\sqrt{48}} = \frac{3 \sqrt{{2}^{2} \cdot 7}}{\sqrt{{2}^{4} \cdot 3}} = \frac{3 \cdot 2 \sqrt{7}}{{2}^{2} \sqrt{3}} = \frac{3}{2} \cdot \frac{\sqrt{7}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{3}{2 \cdot 3} \sqrt{7} = \frac{\sqrt{7}}{2}$