Complex Arithmetic/Examples/Half (z 3 over conj z 3 + conj z 3 over z 3)

Example of Complex Arithmetic
Let $z_3 = \sqrt 3 - 2 i$.

Then:
 * $\dfrac 1 2 \paren {\dfrac {z_3} {\overline z_3} + \dfrac {\overline z_3} {z_3} } = -\dfrac 1 7$