Answer
$\frac{6\sqrt2}{8}$
Work Step by Step
$\frac{\sqrt{72}}{\sqrt{64}}\longrightarrow$ simplify the denominator
=$\frac{\sqrt{72}}{8}\longrightarrow$ factor perfect square out of 72
=$\frac{\sqrt{36\times2}}{8}\longrightarrow$ multiplication property of square roots
=$\frac{\sqrt{36}\times\sqrt2}{8}\longrightarrow$ simplify
=$\frac{6\sqrt2}{8}$