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 - Page 663: 9



Work Step by Step

Step 1: $\sqrt {-200}$ Step 2: $\sqrt {-1\times200}$ Step 3: $\sqrt {-1}\times\sqrt {200}$ Step 4: $\sqrt {-1}\times\sqrt {2\times100}$ Step 5: $\sqrt {-1}\times\sqrt 2\times\sqrt {100}$ Step 6: As $i=\sqrt {-1}$,$\sqrt {-1}\times\sqrt 2\times\sqrt {100}=i\times\sqrt 2\times10$. Step 7: $i\times10\times\sqrt 2=10i\sqrt 2\approx14.142i$
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