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why is e an irrational number

Q: Why is e irrational?

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why is e an irrational number

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sqrt(2) is irrational.

3 is rational.

The product of an irrational and a non-zero rational is irrational.

A more fundamental proof would follow the lines of the proof that sqrt(2) is irrational.

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E not only can be irrational, it is.

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Irrational.

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There cannot be a proof since your assertion is not necessarily true.

sqrt(2)*sqrt(3) = sqrt(6). All three are irrational numbers.

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