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: 27

Answer

$-3i\sqrt2$

Work Step by Step

Factor the radicand so that one factor is a perfect square then simplify to obtain: $=-\sqrt{9(-2)} \\=-\sqrt{3^2(-2)} \\=-3\sqrt{-2}$ Factor out $-1$ in the radicand to obtain: $=-3\sqrt{-1(2)}$ Since $\sqrt{-1} = i$, bring out the square root of $-1$, which is $i$, to obtain: $=-3i\sqrt2$
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