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Algebra Level 4

ab+c+bc+a+ca+b\large \dfrac{a}{\sqrt{b+c}}+\dfrac{b}{\sqrt{c+a}}+\dfrac{c}{\sqrt{a+b}}

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

Give your answer to two decimal place.

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