Answer
$-141$
Work Step by Step
$(3+5\sqrt 6)(3-5\sqrt 6)$
=$3(3-5\sqrt 6)+5\sqrt 6(3-5\sqrt 6)$
=$9-15\sqrt 6+15\sqrt 6-5\sqrt 6(5\sqrt 6)$
=$9+(-15+15)\sqrt 6-(5\times5)(\sqrt 6\times\sqrt 6)$
=$9+0-25(6)$
=$9-150$
=$-141$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 8 - Radical Functions - Chapter Review Exercises - Page 670: 52
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