For \(x\), \(y\), and \(z\) positive real numbers, what is the maximum possible value for
\(
\sqrt{\frac{3x+4y}{6x+5y+4z}}
+
\sqrt{\frac{y+2z}{6x+5y+4z}}
+
\sqrt{\frac{2z+3x}{6x+5y+4z}}?
\)

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do you know how to solve it

This is for a precalc class though :/

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