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: 14

Answer

$12i$

Work Step by Step

Step 1: $\sqrt {-49}+\sqrt {-25}$ Step 2: $\sqrt {-1\times49}+\sqrt {-1\times25}$ Step 3: $(\sqrt {-1}\times\sqrt {49})+(\sqrt {-1}\times\sqrt {25})$ Step 4: $(i\times\sqrt {49})+(i\times\sqrt {25})$ Step 5: $(i\times7)+(i\times5)$ Step 6: $7i+5i$ Step 7: $12i$
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