Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.3 National olympiad Prove it

Example $4.21$ Given $a, b, c > 0, abc = 1$ , prove that
$\frac{1}{\sqrt{2a + 2ab + 1}} + \frac{1}{\sqrt{2b + 2bc + 1}} + \frac{1}{\sqrt{2c + 2ca + 1}} \geqslant 1$

Solution

None

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None

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