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November 11th, 2013, 05:39 AM   #1
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extension fields over Q

I need to find the degree and a basis for the extension-field ...


I had no Problem finding a basis and the degree of ... but now i donīt know what to do with the - part


my first idea would be :




and so the degree would be 8 ... is that correct or am i wrong?
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November 12th, 2013, 06:06 PM   #2
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Re: Extension fields over Q

A simplier basis would be ; the degree is indeed 8.
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November 13th, 2013, 05:20 AM   #3
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Re: extension fields over Q

Quote:
Originally Posted by Nehushtan
A simplier basis would be ; the degree is indeed 8.
Very nice.
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