2. Show that a. Q(√5, √-5) = Q(√−1, √5) b. Q(√2, √6) = Q(√2, √3) c. Q(√5, √7) = Q(√5 + √7) d. Q(√a, √b) = Q(√a + √b), where a, b € Q such that √a + √b ‡0.
2. Show that a. Q(√5, √-5) = Q(√−1, √5) b. Q(√2, √6) = Q(√2, √3) c. Q(√5, √7) = Q(√5 + √7) d. Q(√a, √b) = Q(√a + √b), where a, b € Q such that √a + √b ‡0.
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. Show that
a. Q(√5, √-5) = Q(√−1, √5)
b. Q(√2, √6) = Q(√2, √3)
c. Q(√5, √7) = Q(√5 + √7)
d. Q(√a, √b) = Q(√a + √b), where a, b = Q such that √a + √b ± 0.
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