If $[K:F] = 3$, show a non square in $F$ is a non square in $K$
68753
Elements in finite field extensions
66946
show that $(i+k)! > i!k!$ algebraically
72054
Show that $\deg f$ is even when $n$ is odd.
36011
Show that the product of two consecutive natural numbers is never a square.
39114
Prove that a set in $\mathbb R^3$ is not an algebraic set
104300
Help justifying that $\mathbb Q(\sqrt[3]{2})$ is not a splitting field over $\mathbb Q$.
85819
A non-polyhedral pair $(X,A)$ with both $X$ and $A$ polyhedral
33344
A different way to show that $a^k-1 \mid a^n-1$ if $k\mid n$?
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
62208
If $A$ is a non-empty set, then $A \notin A$
78804
Proving that $\mathscr L=\{0^n \big|\text{n is the square of a natural number }\}$ is non regular using the pumping lemma
134439
Proving function is $C^k$
3296
Proof That $\mathbb{R} \setminus \mathbb{Q}$ Is Not an $F_{\sigma}$ Set
33576
Non-principal ideal in $K[x,y]$?