## Algebra 1

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