# How do you find abs( sqrt 5 + 2i sqrt2)?

Apr 29, 2016

$| \sqrt{5} + 2 \sqrt{2} i | = \sqrt{13}$

#### Explanation:

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

Hence, $| \sqrt{5} + 2 \sqrt{2} i |$

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

= $\sqrt{5 + 8}$

= $\sqrt{13}$