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: 19

Answer

$-12-12i\sqrt 7\approx-12-31.749i$

Work Step by Step

$-4(3+\sqrt {-63})$ =$-12-4\sqrt {-9\times7}$ =$-12-4(\sqrt {-1\times9\times7})$ =$-12-4(\sqrt {-1}\times\sqrt 9\times\sqrt 7)$ =$-12-4(i\times3\times\sqrt 7)$ =$-12-12i\sqrt 7\approx-12-31.749i$
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