Conjugate of $\frac{2-\mathrm{i}}{2+\mathrm{i}}$ is

Question

Professor PC Thomas Classes · Answer

Let $z = \frac{2-i}{2+i}$. Then $\bar{z} = \frac{2+i}{2-i} = \frac{(2+i)^2}{4+1} = \frac{4-1+4i}{5} = \frac{3+4i}{5}$.