Subfield of $\mathbb{R}$ such that $\Bbb R/K$ is finite. [duplicate]
Solution 1:
The Artin-Schreier theorem implies that $\;[\Bbb C:K]\le2\;$ , and from here that the answer is no .
The Artin-Schreier theorem implies that $\;[\Bbb C:K]\le2\;$ , and from here that the answer is no .