## Intermediate Algebra for College Students (7th Edition)

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