a+b=5ab=3记t=√(a+1)/(b+1)+√(b+1)/(a+1)则t^2=(a+1)/(b+1)+(b+1)/(a+1)+2=[(a+1)^2+(b+1)^2]/[(a+1)(b+1)]+2=[a^2+b^2+2(a+b)+2]/[ab+a+b+1]+2=[(a+b)^2+2(a+b)-2ab+2]/[ab+a+b+1]+2=[25+10-6+2]/[3+5+1]+2=31/9+...