Answer
$3i\sqrt 5$
Work Step by Step
$\sqrt -45=\sqrt (9\times-1\times5)=\sqrt 9\times\sqrt -1\times\sqrt 5=3\times i\times\sqrt 5=3i\sqrt 5$
We know that $\sqrt -1=i$, because $i^{2}=-1$.
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 8 - Section 8.1 - Complex Numbers - 8.1 Problem Set - Page 425: 20
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