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$abc=1$ where $a$, $b$, $c$ are positive reals. Prove that $$\sqrt{\frac{a}{a+8}} + \sqrt{\frac{b}{b+8}} + \sqrt{\frac{c}{c+8}} \ge 1$$

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merged by Jyrki Lahtonen Jul 19 '17 at 8:53

This question was merged with Prove the inequality $\sqrt\frac{a}{a+8} + \sqrt\frac{b}{b+8} +\sqrt\frac{c}{c+8} \geq 1$ with the constraint $abc=1$ because it is an exact duplicate of that question.

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