Answer
$\overline{z}+\overline{w}=8+2i$
Work Step by Step
$z=3-4i$ $;$ $w=5+2i$
$\overline{z}+\overline{w}$
Find the conjugate of the two complex numbers by changing the sign of their imaginary part:
$\overline{z}=3+4i$
$\overline{w}=5-2i$
Evaluate the operation:
$\overline{z}+\overline{w}=(3+4i)+(5-2i)=(3+5)+(4-2)i=8+2i$
