alfa problems

Algebra Level 3

If \(a_{1},a_{2},a_{3}.......a_{2015} > 0, a_{1} + a_{2} + ... + a_{2015} = 1\)

and the minimum value of

\(\frac{1}{{a}_{1}} + \frac{1}{{a}_{2}} + \frac{1}{{a}_{3}} + ... + \frac{1}{{a}_{2015}} = x\)

what is the value of \(\sqrt{x}\)

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