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Prove that [tex] \sqrt[3]{3} [/tex] is irrational.

Heres what I have so far:

[tex] \sqrt[3]{3}=\dfrac{m}{n}[/tex]

[tex]3=\dfrac{m^3}{n^3}[/tex]

[tex]m^3=3n^3 [/tex]

Now, I think I am to assume that there is more than one factor of three on the right, or something, I don't know. Can someone point me in the right direction?

Thanks.

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# Homework Help: Need help with proof

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