# How do you write the complex conjugate of the complex number (3 - 2i)?

Sep 25, 2016

$3 + 2 i$

#### Explanation:

Given a complex number $z = x \pm y i$ then the $\textcolor{b l u e}{\text{complex conjugate}}$ is

color(red)(bar(ul(|color(white)(a/a)color(black)(bar(z)=x∓yi)color(white)(a/a)|)))

Note that the real part remains unchanged while the $\textcolor{red}{\text{sign}}$ of the imaginary part is reversed.

Thus the complex conjugate of $3 - 2 i \text{ is } 3 + 2 i$