Answer
$\frac{w^{5}}{6}$
Work Step by Step
The quotient rule for radicals tells us that $\sqrt[n] \frac{a}{b}=\frac{\sqrt[n] a}{\sqrt[n] b}$ (if $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $n$ is a natural number). That is, the nth root of a quotient is the quotient of the nth roots.
Therefore, $\sqrt \frac{w^{10}}{36}=\frac{\sqrt w^{10}}{\sqrt 36}=\frac{w^{5}}{6}$.
$\sqrt w^{10}=w^{5}$, because $(w^{5})^{2}=w^{5\times2}=w^{10}$
$\sqrt 36=6$, because $6^{2}=36$
