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#### issacnewton

##### Member

- Jan 30, 2012

- 61

Let \( c>0 \) be a real number. Then I am trying to prove that \( \forall\; n\in\mathbb{N}\; (c^{1/n} >0) \).

I let \(n\) be arbitrary and then tried to use method of contradiction. But ran into difficulties. Is there another approach ?