Prove that there is no irreducible polynomial of degree 2 in C[x].
Last edited by Deepu; Mar 21st 2010 at 09:05 PM.
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If z is complex, write $\displaystyle z=re^{i\theta}$. Then $\displaystyle \sqrt{z}=\sqrt{r}e^{i\theta/2}$ is also in C.
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