Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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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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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