Exercise 4.1.3 (Examples)

Question

Find two examples of fields $K$ such that $Q \subsetneqq K \subsetneqq \mathbb{Q}(\sqrt2, i)$

Hassaan Naeem · Accepted Answer

extbf{Solution:} $K=\mathbb{Q}(\sqrt2) = \{a+b\sqrt2: a,b \in \mathbb{Q}\}$ and \ $K=\mathbb{Q}(i)= \{a+bi: a,b \in \mathbb{Q}\}$

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