## Precalculus: Mathematics for Calculus, 7th Edition

$|z|=\sqrt{29}$ see graph below .
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). $|z|=\sqrt{5^{2}+2^{2}}=\sqrt{29}$