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 - Practice and Problem-Solving Exercises - Page 253: 14

Answer

$|5+12i|=13$

Work Step by Step

The plot of the given complex number, $ 5+12i ,$ is shown below. The absolute value of the complex number $a+bi,$ written as $|a+bi|,$ is given by $\sqrt{a^2+b^2}.$ Therefore, the absolute value of the given complex number is \begin{align*} & \sqrt{(5)^2+(12)^2} \\&= \sqrt{25+144} \\&= \sqrt{169} \\&= 13 .\end{align*} Hence, $ |5+12i|=13 .$
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