Answer
C.
Work Step by Step
$\frac{\sqrt 6}{\sqrt 96}$ = $\frac{\sqrt 6}{\sqrt 6\times\sqrt 16}$ = $\frac{1}{4}$
Now we can cancel out the common factor $\sqrt 6$ and simplify $\sqrt 16$.
$\frac{\sqrt 6}{\sqrt 6\times\sqrt 16}$ = $\frac{1}{4}$
