- #1
Math100
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- 203
- Homework Statement
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- Relevant Equations
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Show sqrt(3), sqrt(5), sqrt(7), sqrt(24), and sqrt(31) are not rational numbers.
Can you please tell me what's that one fell swoop?PeroK said:These can all be done in one fell swoop if you think about it.
It means one proof to cover all those cases.Math100 said:Can you please tell me what's that one fell swoop?
THAUROS said:Hi, I wanted to share a link that I thought could help but I can't. Sorry!
What proof should/do I need to apply for this problem?PeroK said:It means one proof to cover all those cases.
What's your proof for ##\sqrt 3##? Can you generalise that?Math100 said:What proof should/do I need to apply for this problem?
A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. It can be written in the form of a/b, where a and b are integers.
To verify a proof about rational numbers, you need to carefully check each step of the proof and make sure it follows logical reasoning. You can also use examples or counterexamples to test the validity of the proof.
Some common mistakes to look out for when checking a proof about rational numbers include incorrect use of mathematical operations, incorrect assumptions or definitions, and incorrect application of mathematical laws or theorems.
Yes, a proof about rational numbers can be proven wrong if it contains logical errors or incorrect assumptions. It is important to carefully check the proof and make sure it follows sound mathematical reasoning.
Some techniques for checking a proof about rational numbers include breaking down the proof into smaller steps, using examples or counterexamples, and comparing it to known theorems or mathematical laws. It is also helpful to have a solid understanding of basic mathematical concepts and operations.