How do I divide complex numbers in standard form?
Assuming you have two complex numbers
you can start by treating the constant
and you were asked to evaluate
In most cases you will end up with a remainder which needs have it's denominator converted into a non-complex form.
This is easier to see if we work with an example:
(Warning: I've made up these numbers on the fly, so the answer is likely to be ugly)
Suppose you were asked to divide:
Either through observation or synthetic division you could obtain
We wish to clear the complex component of the denominator, so
In this way, remembering that