sqrt2+sqrt3 over Q, find min polynomial

Cherish Rivera

Cherish Rivera

Answered question

2022-12-04

2 + 3 over Q, find min polynomial

Answer & Explanation

keedriddebadylSE

keedriddebadylSE

Beginner2022-12-05Added 15 answers

The minimal polynomial for 3 over Q is X 2 3, and this is still the minimal polynomial for 3 over Q ( 2 ). This means the polynomial for 3 + 2 over Q ( 2 ) is ( X 2 ) 2 3. Expand this out, and multiply it by its “conjugate” (replacing 2 by − 2 ) and get a Q-polynomial.

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