Square Root of an Odd Powered Integer is Always Irrational?

[Baluncore]

From the research I have done since posting, it says that the square root of any non-square integer is always an irrational number.

Did you notice that if you write any of those irrational square roots as a continued fraction, they always repeat.

 

[sysprog]

Is it always true that the square root of an odd powered integer will always be irrational?

What about 1?