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5. (a) Show that x2 – 5 does not have a zero in Q[/2]. (b) Prove that Q[/2] is not isomorphic to Q[/5].

5. (a) Show that x2 – 5 does not have a zero in Q[/2]. (b) Prove that Q[/2] is not isomorphic to Q[/5].

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. (a) Show that x2 (b) Prove that Q[/2] is not isomorphic to Q[/5]. 5 does not have a zero in Q[/2].
Transcribed Image Text:5. (a) Show that x2 (b) Prove that Q[/2] is not isomorphic to Q[/5]. 5 does not have a zero in Q[/2].
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