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Square Root Equals Trouble

Algebra Level 3

If \(a,b,c > 0\) and \(a+b+c=3\), find the minimum value of \(\sqrt{a^2 + bc + 2} + \sqrt{b^2 + ac + 2} + \sqrt{c^2 + ab+ 2}\).

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Excel in math and science

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by Jason Chrysoprase

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