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: 8

Answer

$8.660i$

Work Step by Step

Step 1: $\sqrt {-75}$ Step 2: $\sqrt {-1\times75}$ Step 3: $\sqrt {-1}\times\sqrt {75}$ Step 4: $\sqrt {-1}\times\sqrt {3\times25}$ Step 5: $\sqrt {-1}\times\sqrt 3\times\sqrt {25}$ Step 6: As $i=\sqrt {-1}$,$\sqrt {-1}\times\sqrt 3\times\sqrt {25}=i\times\sqrt 3\times5$. Step 7: $i\times5\times\sqrt 3=5i\sqrt 3\approx8.660i$
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