Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.1 National olympiad Prove it

Example $9.13 a, b, c \geqslant 0$ , prove that
$\sum \sqrt[3]{\frac{a^{2}+b c}{b^{2}+c^{2}}} \geqslant 2+\frac{1}{\sqrt[3]{2}}$

Solution

None

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None

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