olymmath

JBMO-SL 2011 A3

    Let a,ba, b be positive real numbers. Prove that a2+ab+b23+ab≤a+b\sqrt{\frac{a^{2}+a b+b^{2}}{3}}+\sqrt{a b} \leq a+b.

    Dataset text NuminaMath olympiads. Quoted with source.

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