Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-8 Complex Numbers - Lesson Check - Page 253: 2

Answer

$|4-3i|=5$

Work Step by Step

The absolute value of the complex number $a+bi,$ written as $|a+bi|,$ is given by $\sqrt{a^2+b^2}.$ Then, the absolute value of $ 4-3i ,$ is \begin{align*} & \sqrt{(4)^2+(-3)^2} \\&= \sqrt{16+9} \\&= \sqrt{25} \\&= 5 .\end{align*} Hence, $ |4-3i|=5 .$
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