Question

Chứng minh \(\frac{2014}{\sqrt{2015}}+\frac{2015}{\sqrt{2014}}>\sqrt{2014}+\sqrt{2015}\)

Answer 1

\(VT=\frac{2015-1}{\sqrt{2015}}+\frac{2014+1}{\sqrt{2014}}=\sqrt{2015}-\frac{1}{\sqrt{2015}}+\sqrt{2014}+\frac{1}{\sqrt{2014}}\)

        \(>\sqrt{2014}+\sqrt{2015}\)(do \(\frac{1}{\sqrt{2014}}-\frac{1}{\sqrt{2015}}>0\))

Answer 2

Ban kia lam dung roi do

k tui nha

thanks