An algebra problem by Dipa Parameswara

Algebra Level 5

Let \(x,y,z\) be all real numbers such that \(x+y+z=2\).

What is the minimum value of \( n = \sqrt{x^{2}+7}+\sqrt{y^{2}+11}+\sqrt{z^{2}+13} \)?

Give your answer to 3 decimal places.

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