Answer
$2 \sqrt {6}$
Work Step by Step
First, we write both numbers under the same radical:
$\sqrt {12} • \sqrt {2} = \sqrt {12 • 2}$
Multiply what is under the radical sign:
$\sqrt {24}$
Rewrite $24$ as a product of a perfect square and another factor. We can use $4$ as the perfect square factor:
$\sqrt {4 • 6}$
Take the square root of $4$ to simplify:
$2 \sqrt {6}$