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MathNet 2008-part-03 — 165 problems (EN–VI) Question 112

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 112

If $a$ and $b$ are positive real numbers, what is the minimum value of the expression
$$
\sqrt{a+b}\left(\frac{1}{\sqrt{a}}+\frac{1}{\sqrt{b}}\right) ?
$$