Mathematics Homework Solutions
Problem
#56368

Finite and Algebraic Extensions and Inclusions

For any a, b ! N, show that Q_√a + √bi=Q_√a, √bi.
Where N is the set of natural numbers and Q is the set of rational numbers.

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For any a, b ! N, show that Q _ a + b i = Q _ a, b i .
Where N is the set of natural numbers and Q is the set of rational numbers.

Solution Summary

Finite and Algebraic Extensions and Inclusions are investigated. The solution is detailed and well presented.

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