If $n^c$ is always an integer, where $n=1,2,3,\dots,$ then prove that $c$ is an integer.
How to prove this?
Hints will be greatly appreciated...
Asked
Active
Viewed 26 times
1
-
You mean that $n^c$ being an integer for all $n \in \mathbb{N}$, positive integers $n$, implies that $c$ is an integer? – hardmath Jun 02 '15 at 10:44
-
@hardmath yes i mean that – Mirunalini_UML Jun 02 '15 at 10:52
-
@mathlove Thank you for the link – Mirunalini_UML Jun 02 '15 at 10:53