B Square Root of an Odd Powered Integer is Always Irrational?

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The discussion centers on whether the square root of an odd powered integer is always irrational. It is established that the square root of any non-square integer is irrational, but the conversation also highlights issues with Excel's handling of very large odd powered integers, where it appears to round results to integers. This rounding is attributed to Excel's limitations in displaying significant digits, which can lead to confusion about the nature of the results. Participants note that while Excel may not calculate irrational numbers accurately, the underlying mathematical principles remain valid. The conversation emphasizes the importance of understanding floating-point precision in computational tools like Excel.
  • #31
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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  • #32
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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