答：a²+6b²-4ab-4b+2=0a²-4ab+4b²+2b²-4b+2=0(a-2b)²+2(b-1)²=0所以：a-2b=0b-1=0解得：a=2,b=1所以：(√a+√b)/√(3b)=(√2+1)/√3=(√6+√3)/3