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 - 8.5 Complex Numbers - 8.5 Exercises: 48

Answer

$53.04+34.8i$

Work Step by Step

$(2+7.6i)(6-5.4i)$ =$2(6-5.4i)+7.6i(6-5.4i)$ =$12-2(5.4i)+7.6i(6)-(7.6i)(5.4i)$ =$12-10.8i+45.6i-41.04i^{2}$ =$12-10.8i+45.6i-41.04(-1)$ =$12+41.04-10.8i+45.6i$ =$53.04+34.8i$
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