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Let \(x,y,z\) be positive real numbers such that \(x + y + z = 1\) Find the minimum value of \(\frac{1}{x + y} + \frac{1}{x + z} + \frac{1}{y + z}. \)

 Nov 12, 2019
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The minimum value is 9.

 Nov 12, 2019

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