Divide 9√33 fraction 27√11 . Provide an exact answer. (1 point)
To divide the fractions 9√33 and 27√11, we can simplify by canceling out common factors within the radicals.
\[\frac{9\sqrt{33}}{27\sqrt{11}}\]
First, simplify the numbers outside the radicals:
\[\frac{9}{27} = \frac{1}{3}\]
Now simplify the radicals:
\[\frac{\sqrt{33}}{\sqrt{11}} = \sqrt{\frac{33}{11}} = \sqrt{3}\]
So the simplified answer is \[\frac{1}{3}\sqrt{3}\]