Question

高二数学不等式证明推理*是乘以的意思

Answer 1

记x的三次方为x^3,x的三次方根为x^(1/3)

如果 a^3+b^3+c^3 >= 3abc

那么 a+b+c

= (a^(1/3))^3 + (b^(1/3))^3 + (c^(1/3))^3

>= 3 a^(1/3) b^(1/3) c^(1/3)

= 3 (abc)^(1/3)