Answer
$\frac{\sqrt 2}{5m^2}$
Work Step by Step
$\sqrt \frac{2m}{25m^5}$ = $\frac{\sqrt 2\times\sqrt m}{\sqrt 25\times\sqrt m^2\times\sqrt m^2\times\sqrt m}$
We can divide out the common factor $\sqrt m$ and simplify:
$\frac{\sqrt 2\times\sqrt m}{\sqrt 25\times\sqrt m^2\times\sqrt m^2\times\sqrt m}$ = $\frac{\sqrt 2}{\sqrt 25\times\sqrt m^2\times\sqrt m^2}$ =$\frac{\sqrt 2}{5m^2}$
