Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set - Page 432: 46



Work Step by Step

Using the rule $(a+b)(a-b)=a^{2}-b^{2}$, we obtain: $(3\sqrt 2-\sqrt 7)(3\sqrt 2+\sqrt 7)$ =$(3\sqrt 2)^{2}-(\sqrt 7)^{2}$ =$(3)^{2}(\sqrt 2)^{2}-(\sqrt 7)^{2}$ =$(9)(2)-(7)$ =$18-7$ =$11$
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