Question

How do you simplify `(4+2i)/(3-i)`?

Answer 1

The result is `1+i`

Explanation:

If you want to calculate a quotient of 2 complex numbers it is good to expand the fraction by the complex conjugate of the denominator to make it (the denominator) a real number:

`(4+2i)/(3-i)=(4+2i)/(3-i)*(3+i)/(3+i)=`

`((4+2i)*(3+i))/((3-i)(3+i))=`

`(10+10i)/10=(10*(1+i))/10=1+i`