Minimal polynomial: is $\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}=1$?
27802
How to show this equals 1 without "calculations"
89473
Uniqueness of minimal polynomial: $f(x)$ divides $g(x)$
116054
The number $(3+\sqrt{5})^n+(3-\sqrt{5})^n$ is an integer
137048
If $p, q, r$ are the roots of $x^3 -x+1=0$, what is $p^5 + q^5 + r^5$?
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
78351
Why is $(2, 1+\sqrt{-5})$ not principal?
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
43300
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
146715
A square matrix has the same minimal polynomial over its base field as it has over an extension field
146015
Computing $\int \sqrt{x\sqrt[3]{x\sqrt[4]{x\sqrt[5]{x\cdots}}}} \,\mathrm{d}x$
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
144765
Solving $\sqrt{x+5} = x - 1$
114529
Factoring/Reducing a polynomial $x^4 -2x^3 + 2x^2 + x + 4$