is $\frac{e}{\pi}$ irrational?

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if $e$ and $π$ are irrational numbers, is $\frac{e}{\pi}$ irrational too?

How to prove it?

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It is currently unknown whether $\frac{e}{\pi}$ is irrational. See https://en.wikipedia.org/wiki/Irrational_number#Open_questions