Realy Analysis?

I am pretty much lost, could anyone elaborate on the term “dense”? Here is my problem:

Prove the irrationals are dense in the real numbers.

Thanks.

Top 1 Answers

A few days ago

raz

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Dense comes up in topology also. Basically you are asked to prove that the closure of the irrationals is the set of real numbers.

A set B is dense in C if the closure of B is C.

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