Unformatted text preview: [ Q ( α ) : Q ] . (d) Find the minimal polynomial of α over Q . 4. Let 3 √ 2 be the real cube root of 2 . (a) Find the minimal polynomials of 3 √ 2 and i over Q . (b) Find the minimal polynomial of i over Q ( 3 √ 2) . (c) Show that Q ( i 3 √ 2) = Q ( i, 3 √ 2) . (d) Find the minimal polynomial of i 3 √ 2 over Q . 1...
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This note was uploaded on 01/21/2012 for the course MATH 113 taught by Professor Ogus during the Fall '08 term at Berkeley.
 Fall '08
 OGUS
 Algebra, Integers

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