I was solving some questions on Math Stack Exchange about irrational numbers when suddenly this question struck me.
We know that $e$ is irrational and that $\pi$ is also irrational.
Then is $\pi\cdot e$ rational or irrational?
2026-03-28 03:51:41.1774669901
Pi and e problem
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Quoting the List of unsolved problems in mathematics - Analysis it is yet unknown whether $\pi+e$, $\pi \cdot e$, $\frac{\pi}{e}$ and $\pi^e$ are rational, algebraic irrational, or transcendental.