Answer
$5
\text{ units}
$
Work Step by Step
Using $|a+bi|=\sqrt{a^2+b^2},$ then the given expression, $
|3+4i|
,$ is equal to
\begin{array}{l}\require{cancel}
\sqrt{3^2+4^2}
\\\\=
\sqrt{9+16}
\\\\=
\sqrt{25}
\\\\=
5
\text{ units}
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 687: 109
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