Complex Arithmetic/Examples/Imaginary (z 1 z 2 over z 3)

Example of Complex Arithmetic
Let $z_1 = 1 - i$, $z_2 = -2 + 4 i$ and $z_3 = \sqrt 3 - 2 i$.

Then:
 * $\map \Im {\dfrac {z_1 z_2} {z_3} } = \dfrac {6 \sqrt 3 + 4} 7$