Is a polynomial of degree 3 with irrational roots possible?
115834
Cubic polynomial with three (distinct) irrational roots
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
101162
Square root of $2$ is irrational
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
155962
Are there irreducible polynomials that are partially solvable by radicals?
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
109953
How to prove that $\sqrt 3$ is an irrational number?
141184
Proof that a degree 4 polynomial has at least two roots
131289
Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
143054
Can you raise $\pi$ to a real power to make it rational?
69874
Are there any integer solutions to $a^3=b^2$?
3036
Is a polynomial equation of degree $\ge 5$ not solvable by any way?
70315
Process to show that $\sqrt 2+\sqrt[3] 3$ is irrational
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
157487
Showing a polynomial having at least one integer root under certain conditions has precisely one integer root
13981
Proof that every polynomial of odd degree has one real root