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

$\sqrt{30}+\sqrt{33}+2\sqrt{5}+\sqrt{22}$
$\sqrt{a}\times\sqrt{b}=\sqrt{ab}$ and $\sqrt{a^{2}}=(\sqrt{a})^{2}=a$ (for positive a). $F:\quad \sqrt{3}\times\sqrt{10}=\sqrt{30}$ $O:\quad \sqrt{3}\times\sqrt{11}=\sqrt{33}$ $I:\quad \sqrt{2}\times\sqrt{10}=\sqrt{2\times 10}=\sqrt{2\times 2\times 5}=\sqrt{2^{2}\times 5}=\sqrt{2^{2}}\times\sqrt{5}=2\sqrt{5}$ $L:\quad \sqrt{2}\times\sqrt{11}=\sqrt{22}$ Add the terms (there are no like terms) $...$= $\sqrt{30}+\sqrt{33}+2\sqrt{5}+\sqrt{22}$