Answer
$\sqrt {2}$
Work Step by Step
First, we write both numbers in the numerator under the same radical:
$\frac{\sqrt {6} • \sqrt {3}}{\sqrt {9}} = \sqrt {\frac{6 • 3}{9}}$
Multiply what is under the radical sign first:
$\sqrt {\frac{18}{9}}$
Divide both the numerator and denominator by their greatest common denominator, $9$:
$\sqrt {2}$
