How do I divide complex numbers in standard form?
2 Answers
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
or
We wish to clear the complex component of the denominator, so
In this way, remembering that