Question 131946


OK, YOU ARE ABSOLUTELY RIGHT:  SO LETS USE THE CONJUGATE AND WHAT THIS WILL DO IS GET RID OF THE RADICAL IN THE DENOMINATOR (AS YOU KNOW, THE CONJUGATE OF 1+i IS 1-i.

((3-i)(1-i))/(1+i)(1-i)) 
The numerator reduces to(using FOIL: First, Outer, Inner, Last):

3-3i-i+i^2 (i^2=-1) so we have for the numerator:

3-4i-1=2-4i
For the denominator we have:

1-i+i-i^2; (-(i^2))=(-(-1))=+1 so we have

1+1=2 

Putting the numerator and denominator back together, we have:
(2-4i)/2  divide numerator and denominator by 2 we get:

1-2i-------------------ans


Hope this helps----ptaylor