parmenides51 wrote: Let $x, y$ be positive real numbers. Find the minimum of $$x^2 + xy +\frac{y^2}{2}+\frac{2^6}{x + y}+\frac{3^4}{x^3}$$

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Let $x, y$ be positive real numbers. Prove that $$ x^2 + xy +\frac{y^2}{2}+\frac{64}{x + y}+\frac{27}{x^2}\geq 3(8+\sqrt 6)$$

sqing wrote: Let $x, y$ be positive real numbers. Prove that $$ x^2 + xy +\frac{y^2}{2}+\frac{64}{x + y}+\frac{27}{x^2}\geq 3(8+\sqrt 6)$$

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