Question 976549
You showed  {{{(3+i)+1/(5+i)}}}.


Simplify the second rational expression and then finish simplifying from there.


{{{3+i+(1/(5+i))((5-i)/(5-i))}}}, factor of 1 using conjugate


{{{3+i+(5-i)/(25-i^2)}}}


{{{3+i+(5-i)/26}}}


{{{(3*26+26i+5-i)/26}}}


{{{(78+5+26i-i)/26}}}


{{{(83+25i)/26}}} which you can distribute if you want to  {{{83/26+(25/26)i}}}.