If r is a positive constructible number, then r is constructible. Use theorem to prove r = 1+ v2 is constructible. Then prove r is a surd (by actually constructing a tower of fields).
If r is a positive constructible number, then r is constructible. Use theorem to prove r = 1+ v2 is constructible. Then prove r is a surd (by actually constructing a tower of fields).
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:If r is a positive constructible number, then Jr is constructible.
Use theorem to prove r =
V1+ v2 is constructible. Then prove r is a surd
(by actually constructing a tower of fields).
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