Answer
$5\sqrt{33}-15\sqrt{22}$
Work Step by Step
Multiply using the distributive property:
$5\sqrt{11}(\sqrt{3}-3\sqrt{2})=5\sqrt{11}\cdot \sqrt{3}-15\sqrt{11}\cdot \sqrt{2}=5\sqrt{33}-15\sqrt{22}$
33 and 22 have no perfect square factors so that's it.
