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: 10

Answer

$7.746i$

Work Step by Step

Step 1: $\sqrt {-60}$ Step 2: $\sqrt {-1\times60}$ Step 3: $\sqrt {-1}\times\sqrt {60}$ Step 4: $\sqrt {-1}\times\sqrt {4\times15}$ Step 5: $\sqrt {-1}\times\sqrt 4\times\sqrt {15}$ Step 6: As $i=\sqrt {-1}$,$\sqrt {-1}\times\sqrt 4\times\sqrt {15}=i\times 2\times\sqrt {15}$. Step 7: $i\times2\times\sqrt {15}=2i\sqrt {15}\approx7.746i$
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