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Show that each of the following numbers is algebraic over Q by finding the minimal polynomial of the number over Q. a)sqrt(1/3 + sqrt(7)) b)sqrt(3) + sqrt^3(5) c)srqt(3) + sqrt(2)i

Show that each of the following numbers is algebraic over Q by finding the minimal polynomial of the number over Q. a)sqrt(1/3 + sqrt(7)) b)sqrt(3) + sqrt^3(5) c)srqt(3) + sqrt(2)i

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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Show that each of the following numbers is algebraic over Q by finding the minimal polynomial of the number over Q. a)sqrt(1/3 + sqrt(7)) b)sqrt(3) + sqrt^3(5) c)srqt(3) + sqrt(2)i
Transcribed Image Text:Show that each of the following numbers is algebraic over Q by finding the minimal polynomial of the number over Q. a)sqrt(1/3 + sqrt(7)) b)sqrt(3) + sqrt^3(5) c)srqt(3) + sqrt(2)i
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