Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.0 AIME, harder Prove it

29. If $a, b, c$ are non-negative numbers, then
$a \sqrt{a^{2}+3 b c}+b \sqrt{b^{2}+3 c a}+c \sqrt{c^{2}+3 a b} \geqslant 2(a b+b c+c a)$

Solution

None

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None

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