- #1
Math100
- 823
- 234
- Homework Statement
- None.
- Relevant Equations
- None.
Show sqrt(3), sqrt(5), sqrt(7), sqrt(24), and sqrt(31) are not rational numbers.
Can anyone please check/verify this proof about rational numbers?
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Homework Help Overview
The discussion revolves around proving that the square roots of certain numbers, specifically sqrt(3), sqrt(5), sqrt(7), sqrt(24), and sqrt(31), are not rational. The subject area involves number theory and properties of rational and irrational numbers.
Discussion Character
- Exploratory, Conceptual clarification
Approaches and Questions Raised
- Participants discuss the possibility of a unified proof for all the cases mentioned. There are inquiries about the specific proof methods that could be applied and how one might generalize a proof for sqrt(3) to the other numbers.
Discussion Status
The conversation is ongoing, with participants seeking clarification on the proof methods and expressing interest in a collective approach. Some have attempted to share ideas about the proof structure, while others are looking for specific examples and guidance.
Contextual Notes
There are indications of constraints regarding the sharing of resources, as one participant mentions an inability to share a helpful link. Additionally, there are requests for direct posting of proofs in the thread, suggesting a preference for collaborative engagement within the forum's guidelines.
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