Primitive element of the extension $\mathbb Q(\sqrt{2},\sqrt{3})$ over $\mathbb Q$
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
124279
$g^k$ is a primitive element modulo $m$ iff $\gcd (k,\varphi(m))=1$
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
27021
Show that $Q[\sqrt3]$ is a field
21155
Finding basis of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$ over $\mathbb{Q}$
134619
Galois extension with $X^4-2aX^2+b\in\mathbb Q[X]$
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
80295
Field extensions and algebraic/transcendental elements
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
59416
Quadratic residues and index w.r.t. primitive root of a odd prime p
79295
Frobenius element in cyclotomic extension
39096
Primitive elements of GF(8)
8087
Algebraic integers of $\mathbb{Q}(\sqrt{m})$ for $m$ a squarefree integer
83586
Finite fields and primitive elements
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$