Question

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

Answer 1

`7/10+1/10i`

Explanation:

Multiply by the complex conjugate of the denominator.

`(2+i)/(3+i)((3-i)/(3-i))=(6+i-i^2)/(9-i^2)`

Recall that since `i=sqrt(-1),color(red)(i^2=-1`.

`=(6+i-(-1))/(9-(-1))=(7+i)/10=7/10+1/10i`