Answer
$\sqrt{6}-\sqrt{10}-\sqrt{21}+\sqrt{35}$
Work Step by Step
Use the FOIL method, along with $\sqrt{a}\times\sqrt{b}=\sqrt{ab}$
$F:\quad \sqrt{2}\times\sqrt{3}=\sqrt{6}$
$O:\quad \sqrt{2}\times(-\sqrt{5})=-\sqrt{10}$
$I:\quad -\sqrt{7}\times\sqrt{3})=-\sqrt{21}$
$L:\quad -\sqrt{7}\times(-\sqrt{5})=+\sqrt{35}$
Add the terms (there are no like terms)
$...$= $\sqrt{6}-\sqrt{10}-\sqrt{21}+\sqrt{35}$
