Find the degree of the extension of $\sqrt{3+2\sqrt{2}}$ over $\mathbb{Q}$.
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
114506
Expansion of $(1+\sqrt{2})^n$
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
158588
Determine the Galois group of the polynomial $(x^3-2)(x^3-3)(x^2-2)$ over $\mathbb{Q}(\sqrt {-3})$
27021
Show that $Q[\sqrt3]$ is a field
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
26999
How is the degree of the minimal polynomial related to the degree of a field extension?
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
155750
Why does $\mathbb{C}$ have transcendence degree $\mathfrak{c}$ over $\mathbb{Q}$?
17276
Number of points in the fibre and the degree of field extension
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.