# How do you find abs(7- 6i )?

Jun 16, 2016

$| 7 - 6 i | = \sqrt{85}$

#### Explanation:

To calculate the absolute value of a complex number $z = a + b i$ you use the following formula:

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

For given number you get:

$| z | = \sqrt{{7}^{2} + {\left(- 6\right)}^{2}} = \sqrt{49 + 36} = \sqrt{85}$