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MathNet 2018-part-02 — 181 problems (EN–VI) Question 176

Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)

Question 176

Determine the maximum value of $\sqrt{x}+\sqrt{2 y+2}+\sqrt{3 z+6}$ when $x, y, z$ are strictly positive real numbers satisfying $x+y+z=3$.