Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.3 - Polar Form of Complex Numbers; De Moivre's Theorem - 8.3 Exercises - Page 610: 9

Answer

$|z|=\sqrt{29}$ see graph below .
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Work Step by Step

See p. 602, Graphing Complex Numbers The complex plane is determined by the real axis and the imaginary axis. To graph the complex number a + bi, we plot the ordered pair of numbers (a,b) in this plane See p. 603, The modulus (or absolute value) of the complex number $z=a+bi$ is $|z|=\sqrt{a^{2}+b^{2}}$ ---------- $z=5+2i$ $(a,b)=(5,2)$ Plot $(5,2)$ in the complex plane (see image). $|z|=\sqrt{5^{2}+2^{2}}=\sqrt{29}$
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