If x is positive what is the least value of x+16/x

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如果x是正数,求x+16/x的最小值.
x+16/x
≥2×√x × √(16/x)
=2×4
=8 当且仅当√x= √(16/x),x=4时取等
所以,x=4时,x+16/x取最小值8
再问：请问这个式子是怎么得到的 x+16/x ≥ 2×√x × √(16/x)
再答：基本的不等关系。已知(a-b)²≥0 则a²+b²-2ab≥0 a²+b²≥2ab 当且仅当a=b时取等。本题a²为x，b²为16/x

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