When is $\sqrt[3]{a+\sqrt b}+\sqrt[3]{a-\sqrt b}$ an integer?
51518
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
23048
The ring $\mathbb Z[\sqrt{-2}]= \{a+b\sqrt{-2} ; a\in \mathbb Z,b\in \mathbb Z \}$ has a Euclidean algorithm
118981
Proving $\sqrt{ab} = \sqrt a\sqrt b$
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
138256
What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
60665
Meaning of $\mathbb{Z}\left[\sqrt{3}\right]$?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
135212
The square of an integer has form $3n$ or $3n+1$
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
90276
Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
14633
What's the thing with $\sqrt{-1} = i$
138193
Why is $\sqrt {12} = 2 \sqrt 3$?
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
131625
Expressing an integer as the sum of three squares