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

Published by Pearson

# Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 20

#### 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) $...$= $\sqrt{30}-\sqrt{33}-2\sqrt{5}+\sqrt{22}$

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