Find the degree of QQ(sqrt 2) over QQ

Seettiffrourfk6

Seettiffrourfk6

Answered question

2022-10-15

Find the degree of Q ( 2 ) over Q

Answer & Explanation

silenthunter440

silenthunter440

Beginner2022-10-16Added 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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