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I'm working on a Cauchy inequality proof, and I'm at a point where I need to prove:

[itex] a+ \frac{b}{n} = a\sqrt[n]{b} [/itex] iff [itex] a=b [/itex]

Anyway, is it even possible to prove this? If it isn't I need to hurry up and get about another method. If it is possible, I don't mind thinking on it some more.

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# Is this equation provable?

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