x^5=4 over complex field C contains 1 real root and 4 complex roots.
Hey guys.
I have an exam tomorrow, and one of my practice problems asks me to find the splitting field (and its degree) of over .
Clearly is a root, and
.
Beyond that, though, I don't know where to go. I might just be missing something deceptively simple. Anyway, some assistance would be much appreciated!