Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set: 11

Answer

$5+6i$

Work Step by Step

Factor the radicand so that one factor $-1$ to obtain: $=5+\sqrt{36(-1)} \\=5+\sqrt{6^2(-1)}$ RECALL: (1) $\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}$ (2) $\sqrt{-1} = i$ Use rule (1) above to obtain: $=5+ \cdot \sqrt{6^2} \cdot \sqrt{-1} \\=5+ 6 \cdot \sqrt{-1}$ Use rule (2) above to obtain: $=5+6i$
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