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Algebra Level 4

\[\large \dfrac{a}{\sqrt{b+c}}+\dfrac{b}{\sqrt{c+a}}+\dfrac{c}{\sqrt{a+b}}\]

Given that \(a,b\) and \(c\) are positive reals satisfying \(a+b+c=50\), find the minimum value of the expression above.

Give your answer to two decimal place.

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