2. In the following item an extension field L/K is given. Find the degree of the extension and also find a basis a. K=Q, L= Q(√2, √-1) b. K=Q, L= Q(√2, √-1) c. K = Q, L= Q(√2, √3, √5) OSŤ
2. In the following item an extension field L/K is given. Find the degree of the extension and also find a basis a. K=Q, L= Q(√2, √-1) b. K=Q, L= Q(√2, √-1) c. K = Q, L= Q(√2, √3, √5) OSŤ
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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Transcribed Image Text:2. In the following item an extension field 1/x is given. Find the degree of the
extension and also find a basis
a. K = Q.L = Q(√2, √-1)
b. K = Q.L = Q(V/2, √−1)
c. K = Q, L = Q(√2, √3, √5)
CIST
d. K = Q(√3), L = Q(V1+√3)
e. K = 2/2z, L = K(a), where a¹ + a +1=0.
f. K = 2/3z, L = K(a), where a³ + a² + 2 = 0.
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