# How do you find the absolute value of 2+5i?

Mar 23, 2017

$| 2 + 5 i | = \sqrt{29}$

#### Explanation:

The modulus of a complex number $a + b i$ is given by:

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

Thus;

$| 2 + 5 i | = \sqrt{{2}^{2} + {5}^{2}}$
$\text{ } = \sqrt{4 + 25}$
$\text{ } = \sqrt{29}$