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Answer to Question #35313 in Real Analysis for nate ruiz

Question #35313
Given the function:

f(x1,x2) = 2/(x1x2) + x1x2 + x1,

Show that there is no solution of minimizing this function over x1 > 0, x2 > 0. Can f(x1,x2) ever be smaller than 2sqrt2?
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