In the field of formal rational functions, construct a nest of closed, bounded intervals whose intersection is empty. (That is, show that the Nested Intervals property fails in this field)(adsbygoogle = window.adsbygoogle || []).push({});

I know it has to involve radical 2 but because that is the only number we know is irrational but other than that I have no idea.

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# Homework Help: Show that the nested intervals property fails for the rational numbers

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