Can anyone please check/verify this proof about rational numbers?

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SUMMARY

The discussion focuses on proving that the square roots of 3, 5, 7, 24, and 31 are not rational numbers. Participants emphasize the need for a unified proof that can address all these cases simultaneously. The conversation highlights the importance of utilizing mathematical techniques to demonstrate the irrationality of these square roots, specifically referencing the application of proof strategies that can be generalized across multiple instances.

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Math100
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Homework Statement
None.
Relevant Equations
None.
Show sqrt(3), sqrt(5), sqrt(7), sqrt(24), and sqrt(31) are not rational numbers.
 

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These can all be done in one fell swoop if you think about it.
 
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PeroK said:
These can all be done in one fell swoop if you think about it.
Can you please tell me what's that one fell swoop?
 
Math100 said:
Can you please tell me what's that one fell swoop?
It means one proof to cover all those cases.
 
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THAUROS said:
Hi, I wanted to share a link that I thought could help but I can't. Sorry!
 
PeroK said:
It means one proof to cover all those cases.
What proof should/do I need to apply for this problem?
 
Math100 said:
What proof should/do I need to apply for this problem?
What's your proof for ##\sqrt 3##? Can you generalise that?
 
@Math100 please post your proof and equations directly in the thread using the PF LaTeX feature, not as a PDF.
 

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