w that : The degree of Q(√√2, √√5) ove least 35. The degree of (√√2, V5) ove most 35. The polynomial x7 - 2 € irreducible over Q (V5).

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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(b) Show that:
(i) The degree of Q (√2, V5) over Q is at
least 35.
(ii) The degree of Q(√2, V5) over Q is at
most 35.
(iii) The polynomial x² - 2 € Q [x]_is
irreducible over Q (V5).
Transcribed Image Text:(b) Show that: (i) The degree of Q (√2, V5) over Q is at least 35. (ii) The degree of Q(√2, V5) over Q is at most 35. (iii) The polynomial x² - 2 € Q [x]_is irreducible over Q (V5).
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