Answer
2x
Work Step by Step
$\frac{\sqrt (44x^{3})}{\sqrt (11x)}=\sqrt \frac{(44x^{3})}{(11x)}=\sqrt (4x^{2})=\sqrt 4\times\sqrt (x^{2})=2x$
We know that $\sqrt 4=2$, because $2^{2}=4$.
We also know that $\sqrt (x^{2})=x$, because $(x)^{2}=x^{2}$.
