Compute (1 + i)/(2 - i)(3 + i).
Simplify the real and imaginary parts of the expression.
2i
I will assume you have this :
(1+i) / ( 2-i) (3+i) ) Multiply the bottom part (the denominator ) to get :
(1+i) / ( 7 -i) Now rationalize
(1+i) (7+i) / (7-i)(7+i)
(6 +8i) / ( 50)
1/25 ( 3 + 4i)