Write a basis for the given extension over Q. Describe the basis in roster method. List the elements in increasing absolute value. Hb. {u 1,...,un} where u1 < ... < un; for the square root d we write sqrt(d).   Q (√2,√3,√5)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 69E
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Write a basis for the given extension over Q. Describe the basis in roster method. List the elements in increasing absolute value. Hb. {u 1,...,un} where u1 < ... < un; for the square root d we write sqrt(d).

 

Q (√2,√3,√5)

 

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