Show that the extension has degree 9
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
6824
Extensions of degree two are Galois Extensions.
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
69935
Field extensions of finite degree and primitive elements
147459
Find a non-constructible algebraic number of degree $4$ over $\Bbb Q$
148094
Show that $e^3 > 20$
155245
root of an odd degree polynomial
66946
show that $(i+k)! > i!k!$ algebraically
137373
Real Cyclic Extensions of $\mathbb Q$ of given degree
82328
Constructing a Galois extension field with Galois group $S_n$
83036
f(g(x)) has a degree divisible by n
6777
Showing $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$
155444
Show that entire function $f$ is a polynomial of degree at most $n$
126127
A field extension of prime degree
114506
Expansion of $(1+\sqrt{2})^n$