Answer
$2-i$
Work Step by Step
$2i(\displaystyle \frac{1}{2}-i)$
We distribute:
$=i-2*-1$
$=2+i$
Therefore, the conjugate must be:
$\overline{2+i}$
$=2-i$
(To find the conjugate of a complex number, we reverse the sign of the imaginary part.)