Answer
$\sqrt 4$
Work Step by Step
$\frac{\sqrt -40}{\sqrt -10}=\frac{i\sqrt 40}{i\sqrt 10}=\frac{i}{i}\times\frac{\sqrt 40}{\sqrt 10}=1\times\sqrt\frac{40}{10}=\sqrt\frac{40}{10}=\sqrt 4$
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: 28
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