Find the degree of QQ(sqrt 2) over QQ

Seettiffrourfk6 2022-10-15 Answered
Find the degree of Q ( 2 ) over Q
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silenthunter440
Answered 2022-10-16 Author has 19 answers
x 4 4 = ( x 2 2 ) ( x 2 + 2 ) is not irreducible. The minimal polynomial is x 2 2 so the degree is 2. The minimal polynomial is unique up to a constant factor.
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