Answer
-6i
Work Step by Step
$-\sqrt(-36)=-(\sqrt(-36))=-(\sqrt (36\times-1))=-(\sqrt 36\times\sqrt -1)=-(6i)=-6i$
We know that $\sqrt -1=i$, because $i^{2}=-1$. In this case, we are finding the opposite of $\sqrt (-36)$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 463: 11
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