Answer
$2-i$
Work Step by Step
Given: $\overline{2i( \frac{1}{2}-i)}$
$\overline{2i( \frac{1}{2}-i)}=\overline{2-i^{2}}$
Since, $i^2=-1$ and $i=\sqrt{-1}$
Thus,
$\overline{2i( \frac{1}{2}-i)}=\overline{2+i}$
To find the conjugate of a complex number, we reverse the sign of the imaginary part.
Therefore, the conjugate must be:
$=2-i$
