Answer
$\frac{\sqrt {55m}}{5}$
Work Step by Step
First, we need to cancel out common terms in the numerator and denominator:
$\sqrt {\frac{11m}{5}}$
Separate the radical:
$\frac{\sqrt {11m}}{\sqrt {5}}$
We don't want to leave radicals in the denominator, so to get rid of radicals in the denominator, we multiply both the numerator and denominator by the denominator:
$\frac{\sqrt {11m}}{\sqrt {5}} • \frac{\sqrt {5}}{\sqrt {5}}$
Multiply to simplify:
$\frac{\sqrt {55m}}{\sqrt {25}}$
Take the square root of any perfect squares:
$\frac{\sqrt {55m}}{5}$
