อสมการคร้าบ
Let $x,y,z$ be positive real numbers. Prove that
$$\sqrt {\frac {x^3} {x^3+4yz(y+z)}}+\sqrt {\frac {y^3} {y^3+4zx(z+x)}}+\sqrt {\frac {z^3} {z^3+4xy(x+y)}} \geq 1$$
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