Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Test: 23

Answer

$-14-16\sqrt 3$

Work Step by Step

$(5+2\sqrt 3)(2-4\sqrt 3)$ =$5(2-4\sqrt 3)+(2\sqrt 3)(2-4\sqrt 3)$ =$10-20\sqrt 3+4\sqrt 3-8\sqrt 3\sqrt 3$ =$10-20\sqrt 3+4\sqrt 3-8(3)$ =$10-24+(-20+4)\sqrt 3$ =$-14-16\sqrt 3$
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