Answer
$\sqrt{30}-\sqrt{33}-2\sqrt{5}+\sqrt{22}$
Work Step by Step
Use the FOIL method, along with
$\sqrt{a}\times\sqrt{b}=\sqrt{ab}$
$F:\quad \sqrt{3}\times\sqrt{10}=\sqrt{30}$
$O:\quad \sqrt{3}\times(-\sqrt{11})=-\sqrt{33}$
$I:\quad -\sqrt{2}\times\sqrt{10})=-\sqrt{20}=-\sqrt{4\times 5}=-\sqrt{4}\times\sqrt{5}=-2\sqrt{5}$
$L:\quad -\sqrt{2}\times(-\sqrt{11})=+\sqrt{22}$
Add the terms (there are no like terms)
$...$= $\sqrt{30}-\sqrt{33}-2\sqrt{5}+\sqrt{22}$
