
dividing complex numbers
Hello, I am trying to divide:
(1216i) / (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.
(1216i) * (1.414  1.414i)
If I do that, and then calculate out I get:
16.9716.97i22.62i+22.62i^2 / 22i+2i2i^2
simplified to:
16.9739.59i+22.62i^2 / 22i^2
simplified to:
39.5939.59i / 22
simplified to:
39.5939.59i
However, I know the answer should be 1.414  9.901i
Can someone see where I am going wrong ?
Thanks kindly for any help.

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