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#1
I have a weird proof by contradiction question that I can't seem to find an answer for anywhere.

A is rational, B is irrational. Prove by contradiction A-B is irrational.
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2 years ago
#2
I have a weird proof by contradiction question that I can't seem to find an answer for anywhere.

A is rational, B is irrational. Prove by contradiction A-B is irrational.
Suppose is rational. Then it can be written in the form where and .

Now, you know that is rational. Express it as . So can you tell me what the problem is with ??
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#3
(Original post by RDKGames)
Suppose is rational. Then it can be written in the form where and .

Now, you know that is rational. Express it as . So can you tell me what the problem is with ??
I honestly don't know.. Maybe when you cross multiply it ends up proving B is rational? So that's a contradiction?
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2 years ago
#4
I honestly don't know.. Maybe when you cross multiply it ends up proving B is rational? So that's a contradiction?
exactly
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