Prove using the multiplication axioms that if x is not zero, then 1 / (1/x) is equal to x.(adsbygoogle = window.adsbygoogle || []).push({});

Prove that there is no rational number, p, such that p^2 = 12

I know for all x there exists x^-1 such that xx^-1 = 1 but i don't know how to use that to prove the first one.

For the second one, I understand the proof for p^2 = 2 by contradiction by showing that it was not reduced to lowest term because both a and b in a/b turned out to be even, but i can't seem to duplicate the process for 12.

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# Homework Help: Analysis Math Questions

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