Is there a direct proof that pi is not the root of an algebraic equation whose degree is a power of 2
14447
Direct proof that $\pi$ is not constructible
111094
Help with proving that $\pi$ is irrational
32
Is $n^{th}$ root of $2$ an irrational number?
82085
Without solving the equation, show that all nine roots of $(𝑧 − 1)^{10} = 𝑧^{10}$ lie on the line $Re (𝑧) = \frac{1}{2}$
46821
Finding roots in $\mathbb{Z}_p$
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
136855
Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)
41191
How to prove this $\pi$ formula?
118374
Is there a proof that $\pi$ is an irrational number?
44573
Can $\pi$ be rational in some base radix
51314
How to prove that a complex number is not a root of unity?
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
31977
How to prove sum of powers property of roots of unity?