Answer
$\frac{\sqrt 5}{11}$
Work Step by Step
The quotient rule holds that $\sqrt[n] (\frac{a}{b})=\frac{\sqrt[n] a}{\sqrt[n] b}$ (where $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $\sqrt[n] b$ is nonzero).
Therefore, $\sqrt (\frac{5}{121})=\frac{\sqrt 5}{\sqrt 121}=\frac{\sqrt 5}{11}$
We know that $\sqrt 121=11$, because $11^{2}=121$.