In your own words explain why the method of dividing complex

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

Solution

Here are the step require to divide complex numbers:

Reduce your answer if you can.

conjugate property justifies this

Step 1:	To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.
Step 2:	Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.
Step 3:	Simplify the powers of i, specifically remember that i2 = –1.
Step 4:	Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.
Step 5:	Write you answer in the form a + bi.
Step 6:	Reduce your answer if you can. conjugate property justifies this