Answer
$\displaystyle \sqrt{\frac{15}{4}}=\frac{\sqrt{15}}{2}$
Work Step by Step
$\sqrt{\frac{15}{4}}\qquad$ ...apply the Quotient Property:$\displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$
$=\displaystyle \frac{\sqrt{15}}{\sqrt{4}}\qquad$ ...evaluate the denominator ($\sqrt{4}=2$).
$=\displaystyle \frac{\sqrt{15}}{2}$