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: 19



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