# How do you simplify abs( 2i)?

Feb 1, 2017

$| 2 i | = 2 i$

Feb 1, 2017

$| 2 i | = 2$

#### Explanation:

Absolute value of a complex number $a + b i$ is written as $| a + b i |$ and is equivalent to $\sqrt{{a}^{2} + {b}^{2}}$

Hence $| 2 i | = | 0 + 2 i | = \sqrt{{0}^{2} + {2}^{2}} = \sqrt{4} = 2$