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 - Page 491: 22


$-\sqrt 57$

Work Step by Step

$\sqrt -3\times\sqrt -19=i\sqrt 3\times i\sqrt 19=i^{2}\sqrt (3\times19)=i^{2}\sqrt 57=-1\times\sqrt 57=-\sqrt 57$ We know that $\sqrt -1=i$, because $i^{2}=-1$.
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