Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.4 National olympiad Prove it

31. Given $a, b, c>0$ , and $a+b+c=abc$ , prove: $\frac{1}{\sqrt{1+a^{2}}}+\frac{1}{\sqrt{1+b^{2}}}+\frac{1}{\sqrt{1+c^{2}}} \leqslant \frac{3}{2} \cdot\left(1998^{-}\right.$ Korean Mathematical Olympiad problem)

Solution

None

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