• zmudz
For x, y, and z positive real numbers, what is the maximum possible value for $$\sqrt{\frac{3x+4y}{6x+5y+4z}} + \sqrt{\frac{y+2z}{6x+5y+4z}} + \sqrt{\frac{2z+3x}{6x+5y+4z}}?$$ Also, find what z/x is if (x,y,z) achieves the maximum value. Thank you! I am so stuck right now.
Mathematics

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