Find the degree of the splitting field of \(x^6-3\) over (i) \(\mathbb {Q}(\sqrt {-3})\) and (ii) \(\mathbb {F}_5\).
Question
Math 6310 • Algebra
Fall 2010 • Question 8
Question
Fall 2010 • Question 8
Find the degree of the splitting field of \(x^6-3\) over (i) \(\mathbb {Q}(\sqrt {-3})\) and (ii) \(\mathbb {F}_5\).