Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 47



Work Step by Step

The absolute value of a complex number $z=a+bi,$ denoted $|z|,$ is a nonnegative real number defined as $|z|=\sqrt{a^{2}+b^{2}}$. $|z|=|4i|$ $=\sqrt{a^{2}+b^{2}}\qquad$ ...substitute $0$ for $a$ and $4$ for $b$ $=\sqrt{0^{2}+4^{2}}\qquad$ ...simplify. $=\sqrt{0+16}$ $=\sqrt{16}\qquad$ ...evaluate. $=4$
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