simplifying

Question

 Simplify  5 

              3+i

Answer 1

I think you meant: 5/(3+i)

 

If so, multiply the top and bottom by the conjugate of 3+i, which is 3-i, then simplify:

 

(5(3-i)) / ((3+i)(3-i))

(5(3-i)) / (9+3i-3i+1)

(5(3-i)) / (10)

(3-i)/2