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Let x, y, and z be positive real numbers.  Find the largest possible value of

 

sqrt((3x + 4y)/(6x + 5y + 4z)) + sqrt((y + 4z)/(2x + 3y + 8z)) + sqrt((5z + 7x)/(4x + 3y + 5z))

 
 May 14, 2024

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