#### 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 $i^{2}=-1$.

Published by
Pearson

ISBN 10:
0321969359

ISBN 13:
978-0-32196-935-4

-2

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