Answer
$\displaystyle \sqrt{\frac{35}{36}}=\frac{\sqrt{35}}{6}$
Work Step by Step
$\sqrt{\frac{35}{36}}\qquad$ ...apply the Quotient Property:$\displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$
$=\displaystyle \frac{\sqrt{35}}{\sqrt{36}}\qquad$ ...simplify the denominator.($\sqrt{36}=6$).
$=\displaystyle \frac{\sqrt{35}}{6}$