2019-04-02 02:07:21 -0500 commented answer How to define $\mathbb{Q}_p(\sqrt{5})$ and $\mathbb{Q}_p (\sqrt{5} ,\sqrt{3})$ and find their valuation rings for $p=7$? I wanted to define \mathbb{Q}_7(\sqrt{5},sqrt{3}) 2019-03-06 22:04:51 -0500 received badge ● Editor (source) 2019-03-06 22:03:29 -0500 asked a question How to define $\mathbb{Q}_p(\sqrt{5})$ and $\mathbb{Q}_p (\sqrt{5} ,\sqrt{3})$ and find their valuation rings for $p=7$? I tried finite extension $\mathbb({Q}_p$ I unable do it. It will also great if help me with how to define the valuation ring of that finite extension 2018-10-25 04:08:40 -0500 asked a question i want to find factorization ideal (3) in integral closure of Z_3 in Q_3(sqrt(2),sqrt(3)) my problem is to define Q_3(sqrt(2),sqrt(3)) ii)find factorization of ideal 2018-10-19 07:31:11 -0500 received badge ● Student (source) 2018-10-19 05:18:10 -0500 asked a question i want to define field \mathbb Q (\sqrt 2,\sqrt 3) what command should use? i tried doing it by spiliting field comand but it is not working ,if possible let me know about spliting field commands also