Hi

I am wondering how to find the minimal polynomial of 2+\sqrt{i} over \mathbb{Q}.

I have got it to x^{4}-2x^{2}+9 but I don't know how to shaw that this is irreducible!

Thanks

Printable View

- Feb 3rd 2010, 08:39 AMKirstyMinimal Polynomials
Hi

I am wondering how to find the minimal polynomial of 2+\sqrt{i} over \mathbb{Q}.

I have got it to x^{4}-2x^{2}+9 but I don't know how to shaw that this is irreducible!

Thanks - Feb 3rd 2010, 10:39 AMtonio
- Feb 3rd 2010, 11:11 AMKirsty
Oops,

I actually meant \sqrt{2}+i.

Sorry