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: 21

Answer

$-\sqrt 105$

Work Step by Step

$\sqrt -7\times\sqrt -15=i\sqrt 7\times i\sqrt 15=i^{2}\sqrt (7\times15)=i^{2}\sqrt 105=-1\times\sqrt 105=-\sqrt 105$ We know that $\sqrt -1=i$, because $i^{2}=-1$.
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