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: 13

Answer

$8i$

Work Step by Step

Step 1: $\sqrt {-4}+\sqrt {-36}$ Step 2: $\sqrt {-1\times4}+\sqrt {-1\times36}$ Step 3: $(\sqrt {-1}\times\sqrt 4)+(\sqrt {-1}\times\sqrt {36})$ Step 4: $(i\times\sqrt 4)+(i\times\sqrt {36})$ Step 5: $(i\times2)+(i\times6)$ Step 6: $2i+6i$ Step 7: $8i$
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