已知复数z=根号3 ＋i（i为虚数单位）,

z^2=(根号3＋i)^2=3-1+(2根号3)*i
=2+(2根号3)*i
(4根号3)/z=(4根号3)(根号3-i)/(根号3＋i)(根号3-i)
=[12-(4根号3)*i]/(3+1)=3-(根号3)*i
(z^2) ＋(4根号3)/z=2+(2根号3)*i+3-(根号3)*i=5+(根号3)*i