# How do you find abs(3 + 2i )?

May 24, 2016

$| 3 + 2 i | = \sqrt{13}$

#### Explanation:

Absolute value of a complex number $a + i b$ is denoted as $| a + i b |$

and is given by $\sqrt{{a}^{2} + {b}^{2}}$

Hence absolute value $| 3 + 2 i |$ is

$\sqrt{{3}^{2} + {2}^{2}} = \sqrt{9 + 4} = \sqrt{13}$