Consider the set $E = \{a+b\sqrt2 + c\sqrt3+ d\sqrt6 : a,b,c,d \in \mathbb{Q} \}$. I want to show $E$ is a field, but I don't know how to prove every element in $E$ has an inverse. Would you please give me a hint?
2026-05-05 01:12:50.1777943570
Prove that this set is a field
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