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

##### 1 Answer
Jun 12, 2016

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

#### Explanation:

The modulus of a complex number $a + b i$, denoted $| a + b i |$, is given by

$| a + b i | = \sqrt{{a}^{2} + {b}^{2}}$

and represents the distance of that number from the origin on the complex plane. Note that this is analogous to the absolute value of a real number.

For our given number, $3 - 2 i$, we have

$| 3 - 2 i | = \sqrt{{3}^{2} + {\left(- 2\right)}^{2}} = \sqrt{9 + 4} = \sqrt{13}$