Answer
$6 \sqrt {2}$
Work Step by Step
First, we write both numbers under the same radical:
$\frac{\sqrt {144}}{\sqrt {2}} = \sqrt \frac{144}{2}$
Evaluate what is under the radical sign:
$\sqrt {72}$
Rewrite $72$ as a product of a perfect square and another factor. We can use $36$ as the perfect square factor:
$\sqrt {36 • 2}$
Take the square root of $36$ to solve:
$6 \sqrt {2}$