Cho \(2\) số dương \(a\) và \(b\). Chứng minh rằng:  \(\frac{a}{b}+\frac{b}{a}\geq 2\)
Áp dụng bất đẳng thức Cauchy cho \(2\) số dương \(\frac{a}{b}\) và \(\frac{b}{a}\) ta có:  \(\frac{a}{b}+\frac{b}{a}\geq 2\sqrt{\frac{a}{b}.\frac{b}{a}}=2\)
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