Problem

It can be shown that the smallest subfield of ℝ containing ∛2 is isomoiphic to the smalles...

It can be shown that the smallest subfield of ℝ containing ∛2 is isomoiphic to the smallest subfield of ℂ containing . Explain why this shows that, although there is no ordering for ℂ, there may be an ordering of a subfield of ℂ that contains some elements that are not real numbers.

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Solutions For Problems in Chapter S.25