An algebra problem by An Nguyen

Algebra Level pending

Let x, y, z be 3 positive real numbers such that \(x\) + \(y\) + \(z\) = \(1\). What's the maximum value of the following expression? \(\frac{x}{x + \sqrt{x + yz}}\) + \(\frac{y}{y+ \sqrt{y + zx}}\) + \(\frac{z}{z + \sqrt{z + xy}}\)

×

Problem Loading...

Note Loading...

Set Loading...