Copied What is the Galois group of \(x^4-5\) over: \(\mathbb {Q}\); \(\mathbb {Q}(\sqrt {5})\); \(\mathbb {Q}(i)\). Raw LaTeX What is the Galois group of \(x^4-5\) over: \begin{enumerate} \item \(\mathbb{Q}\); \item \(\mathbb{Q}(\sqrt{5})\); \item \(\mathbb{Q}(i)\). \end{enumerate} Topic Tags Field Extensions Galois Theory Ideals in Quadratic Integer Rings and Exterior Powers