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Let x, y, z be real numbers such that x + y + z = 1, and x >= -1/3, y >= -1, and z >= -5/3. Find the maximum value of sqrt{3x + 1} + sqrt{3y + 3} + sqrt{3z + 5}.

 Mar 27, 2020
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The maximum value is sqrt(8) = 2*sqrt(2), for x = 0, y = 0, and z = 1.

 Mar 29, 2020

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