1. Answer the following: (a) Find u ER such that Q(u) = Q(√2, ³√√/5). (b) Describe how you would find all w = Q(√2, ³√5) such that Q(w) = Q(√√2,³√/5).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Field theory 

I. Degrees, etc.
Field Theory Problems
1. Answer the following:
(a) Find u € R such that Q(u) = Q(√2, ³√√5).
(b) Describe how you would find all w € Q(√2, ³√5) such that Q(w) = Q(√√2, ³√√5).
Transcribed Image Text:I. Degrees, etc. Field Theory Problems 1. Answer the following: (a) Find u € R such that Q(u) = Q(√2, ³√√5). (b) Describe how you would find all w € Q(√2, ³√5) such that Q(w) = Q(√√2, ³√√5).
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