# How do you simplify abs(0.2 + 0.8i)?

Feb 9, 2016

$| 0.2 + 0.8 i | = \sqrt{0.68} = 0.82621 \ldots$

#### Explanation:

The modulus of a complex number $a + b i$, denoted $| a + b i |$, is $\sqrt{{a}^{2} + {b}^{2}}$

Then, in this case,

$| 0.2 + 0.8 i | = \sqrt{{0.2}^{2} + {0.8}^{2}}$

$= \sqrt{0.04 + 0.64}$

$= \sqrt{0.68}$

$= 0.824621 \ldots$