Let $K/F$ be a finite extension with $K$ algebraically closed.
How can I show that $\mathrm{char}(F)=0$ and $K=F((-1)^{1/2})$ ?
Let $K/F$ be a finite extension with $K$ algebraically closed.
How can I show that $\mathrm{char}(F)=0$ and $K=F((-1)^{1/2})$ ?