Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.3 Complex Numbers - 1.3 Exercises - Page 111: 26



Work Step by Step

Factor the radicand so that one factor is a perfect square then simplify to obtain: $=\sqrt{100(-5)} \\=\sqrt{10^2(-5)} \\=10\sqrt{-5}$ Factor out $-1$ in the radicand to obtain: $=10\sqrt{-1(5)}$ Since $\sqrt{-1} = i$, bring out the square root of $-1$, which is $i$, to obtain: $=10i\sqrt5$
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