# How do you find the absolute value: |5-i|?

Jun 29, 2016

$| 5 - i | = \sqrt{26}$

#### Explanation:

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

Hence $| 5 - i |$

= $\sqrt{{5}^{2} + {\left(- 1\right)}^{2}}$

= $\sqrt{25 + 1}$

= $\sqrt{26}$