Answer
$10i\sqrt 5$
Work Step by Step
$\sqrt -500=\sqrt (100\times5\times-1)=\sqrt 100\times\sqrt 5\times\sqrt -1=10i\sqrt 5$
We know that $\sqrt 100=10$, because $10^{2}=100$.
We know that $\sqrt -1=i$, because $i^{2}=-1$.
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 357: 22
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
