Answer
$9i$
Work Step by Step
Solve $\sqrt{-81}$
As per square root property, we have $\sqrt{81}=\sqrt{9 \cdot 9}=\sqrt{9^2}=9$
Thus,
$\sqrt{-81}=9\sqrt {-1}$
Since, $i^2=-1$ and $\sqrt {-1}=i$
Hence, $\sqrt{-81}=9i$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Review Exercises - Page 578: 87
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