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