Square Root of an Odd Powered Integer is Always Irrational?

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e2m2a said:
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.
 
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e2m2a said:
Is it always true that the square root of an odd powered integer will always be irrational?
What about 1?
 
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