# Math Help - dividing complex numbers

1. ## dividing complex numbers

Hello, I am trying to divide:

(12-16i) / (1.414+1.414i)

As I understand, a method to do this is to multiply the first set by the conjugate of the second eg.
(12-16i) * (1.414 - 1.414i)

If I do that, and then calculate out I get:

16.97-16.97i-22.62i+22.62i^2 / 2-2i+2i-2i^2
simplified to:
16.97-39.59i+22.62i^2 / 2-2i^2
simplified to:
39.59-39.59i / 2-2
simplified to:
39.59-39.59i

However, I know the answer should be -1.414 - 9.901i
Can someone see where I am going wrong ?
Thanks kindly for any help.

2. It's because the denominator is 2 - 2i^2 = 2 - (-2) = 2 + 2 = 4.