# How do you simplify the square root of 27/4?

$\sqrt{\frac{27}{4}} = \frac{\sqrt{27}}{\sqrt{4}} = \frac{\sqrt{{3}^{2} \cdot 3}}{\sqrt{{2}^{2}}} = \frac{\sqrt{{3}^{2}} \cdot \sqrt{3}}{\sqrt{{2}^{2}}} =$
$\frac{3 \sqrt{3}}{2} = \frac{3}{2} \sqrt{3}$