How to factor $5$ in $\mathbb{Q}[\sqrt[3]{2}]$?
10589
How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
149675
Simplifying $\sqrt[4]{161-72 \sqrt{5}}$
21155
Finding basis of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$ over $\mathbb{Q}$
43591
How to factor numbers that are the product of two primes
103148
Show Galois group of $f(t) = t^5 - 3$ over $\mathbb Q$ is solvable
4048
Find the Galois group of $x^3-5$ over $\mathbb{Q}$.
108550
Elements of $\mathbb Q(2^{1/3})$
87282
Diophantine equation involving prime numbers : $p^3 - q^5 = (p+q)^2$
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
134885
proving that $\mathbb{Q}(\sqrt{5}, \sqrt{6}) = \mathbb{Q}(\sqrt{5}+ \sqrt{6}) $
16163
Show $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is a simple extension field of $\mathbb{Q}$.
116175
Show that $\gcd(3k+2,5k+3)=1$
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
29874
Not divisible by $2,3$ or $5$ but divisible by $7$