Answer:
2+10i
Step-by-step explanation:
You should multiply by the conjugate,
which is 5-i in this problem.
(52i/(5+i))((5-i)/(5-i))=(260i-52i^2)/(25-i^2)
=(260i+52)/26=[26(10i+2)]/26
simplify, the 26's cancel out,
leave you with 10i+2.
Remember that i^2=i*i=-1.
