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: 7

Answer

$4.472i$

Work Step by Step

Step 1: $\sqrt {-20}$ Step 2: $\sqrt {-1\times20}$ Step 3: $\sqrt {-1}\times\sqrt {20}$ Step 4: $\sqrt {-1}\times\sqrt {4\times5}$ Step 5: $\sqrt {-1}\times\sqrt 4\times\sqrt 5$ Step 6: As $i=\sqrt {-1}$,$\sqrt {-1}\times\sqrt 4\times\sqrt 5=i\times2\times\sqrt 5$ Step 7: $i\times2\times\sqrt 5=2i\sqrt 5\approx4.472i$
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