>? is transcendental
>? is not the root of a non-zero polynomial with rational coefficients

$\left(x+\pi \right)\left(x-\pi \right)=0$
$x+\pi =0$
$x=-\pi$
$x-\pi =0$
$x=\pi$
$x=\pm\pi$
only coefficient I see is 1 which is pretty rational in my book
starting to think those 19th century mathematicians weren't so clever after all