Prove that \(\mathbb {Q}(\sqrt {5+\sqrt {5}})\) is Galois over \(\mathbb {Q}\), and compute the Galois group.
Question
Math 6310 • Algebra
Spring 2015 • Question 9
Question
Spring 2015 • Question 9
Prove that \(\mathbb {Q}(\sqrt {5+\sqrt {5}})\) is Galois over \(\mathbb {Q}\), and compute the Galois group.