Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 18



Work Step by Step

$\sqrt{a}\times\sqrt{b}=\sqrt{ab}$ 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) $...$= $\sqrt{30}+\sqrt{33}+2\sqrt{5}+\sqrt{22}$
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