Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.7 - Complex Numbers - 7.7 Exercises: 31

Answer

-2

Work Step by Step

$-\frac{\sqrt -64}{\sqrt -16}=-\frac{i\sqrt 64}{i\sqrt 16}=-\frac{i}{i}\times\frac{\sqrt 64}{\sqrt 16}=-1\times\sqrt \frac{64}{16}=-1\times\sqrt 4=-1\times2=-2$ We know that $\sqrt -1=i$, because $i^{2}=-1$.
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