Question

I need help simplifying this and putting it in a+bi form

2 + i√ 3
---------
3 + i

Answer 1

multiply by (3 - i)/(3 - i)

you get:

(6 + sqrt(3))/10 + ((2 + 3sqrt(3))/10)i

Answer 2

if you are dealing with a division of imaginary numbers the easiest wey of doing it is multiplying it by the conjugate of de denominator (3-i/3-i) so you have a difference of squares on the buttom part and you get rid of the imaginary part