Answer
Option (b)
Work Step by Step
The principal square root is the non-negative root.
Thus, the principal square root of $-4$ is:
$=\sqrt{-4}
\\=\sqrt{4(-1)}
\\=\sqrt{2^2(-1)}
\\=2\sqrt{-1}
\\=2i$
Thus, the answer is $b$.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 111: 8
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