# How do you find the complex conjugate of -6i?

Dec 19, 2015

$6 i$
Any complex number in rectangular form $z = x + i y$ has complex conjugate given by $\overline{z} = x - i y$.
So in this case, $\overline{0 - 6 i} = 0 + 6 i = 6 i$.
Note that $z \overline{z} = {x}^{2} + {y}^{2} \in \mathbb{R}$.