Answer
-2
Work Step by Step
$-\frac{\sqrt -100}{\sqrt -25}=-\frac{i\sqrt 100}{i\sqrt 25}=-\frac{i}{i}\times\frac{\sqrt 100}{\sqrt 25}=-1\times\sqrt \frac{100}{25}=-1\times\sqrt 4=-1\times2=-2$
We know that $\sqrt -1=i$, because $i^{2}=-1$.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
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: 32
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.
