Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set: 19

Answer

$-5\sqrt 2$

Work Step by Step

$\sqrt -5 \times \sqrt -10=\sqrt (25\times-1\times-1\times2)=\sqrt 25\times\sqrt -1\times\sqrt -1\times\sqrt 2=5\times i\times i\times\sqrt 2=5\times i^{2}\times\sqrt 2=-5\sqrt 2$ We know that $\sqrt -1=i$ and that $i^{2}=-1$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.