30. Let d be a positive integer. Prove that Q[Vd] = {a + bVd | a, b E Q} is a field.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 18E
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Can someone please help me understand the following problem. I need to know how to start the problem. i need to know the theorems ,identities,  used please thank you.

 

30. Let d be a positive integer. Prove that Q[Vd] = {a + bVd |
a, b E Q} is a field.
Transcribed Image Text:30. Let d be a positive integer. Prove that Q[Vd] = {a + bVd | a, b E Q} is a field.
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