Showing an algebraic element of $\bar{\mathbb{Q}}$ is in $\bar{\mathbb{Q}}$
64502
On the meaning of being algebraically closed
3203
Quotient group $\mathbb Z^n/\ \text{im}(A)$
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
49296
Prove $|(1+|u|^2)v-(1+|v|^2)u|>|u\bar{v}-\bar{u}v|$
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
107821
The ring of integers of $\mathbf{Q}[i]$
143000
Show that there exists a $c\in \mathbb{C}$ such that $f(z)=c \bar{z}$ for all $\vert z\vert=1$.
60212
algebraic element over a field
28145
What is $\Gamma(z) \Gamma(\bar {z})$?
98968
$X$ is algebraic over $E$
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$