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)
$...$= $\sqrt{6}+\sqrt{10}+\sqrt{21}+\sqrt{35}$