Answer
$\displaystyle \sqrt{\frac{11}{25}}=\frac{\sqrt{11}}{5}$
Work Step by Step
$\sqrt{\frac{11}{25}}\qquad$ ...apply the Quotient Property:$\displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$
$=\displaystyle \frac{\sqrt{11}}{\sqrt{25}}\qquad$ ...evaluate the denominator ($\sqrt{25}=5$).
$=\displaystyle \frac{\sqrt{11}}{5}$
