Answer
$\frac{\sqrt {3n}}{n}$
Work Step by Step
We rationalize the denominator.
$\frac{\sqrt 6}{\sqrt {2n}}$ $\longrightarrow$ multiply top and bottom by $\sqrt {2n}$
$\frac{\sqrt 6}{\sqrt {2n}}\times\frac{\sqrt {2n}}{\sqrt {2n}}$
$=\frac{\sqrt {12n}}{2n}$
$=\frac{\sqrt {4\times3n}}{2n}$
$=\frac{2\sqrt {3n}}{2n}$
$=\frac{\sqrt {3n}}{n}$
