Answer
$11$
Work Step by Step
Using the rule $(a+b)(a-b)=a^{2}-b^{2}$, we obtain:
$(3\sqrt 2-\sqrt 7)(3\sqrt 2+\sqrt 7)$
=$(3\sqrt 2)^{2}-(\sqrt 7)^{2}$
=$(3)^{2}(\sqrt 2)^{2}-(\sqrt 7)^{2}$
=$(9)(2)-(7)$
=$18-7$
=$11$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
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
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