Answer
$-14-16\sqrt 3$
Work Step by Step
$(5+2\sqrt 3)(2-4\sqrt 3)$
=$5(2-4\sqrt 3)+(2\sqrt 3)(2-4\sqrt 3)$
=$10-20\sqrt 3+4\sqrt 3-8\sqrt 3\sqrt 3$
=$10-20\sqrt 3+4\sqrt 3-8(3)$
=$10-24+(-20+4)\sqrt 3$
=$-14-16\sqrt 3$
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 Test - Page 672: 23
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