Connected Set Topology on R^2 Q^2 - Let S = R^2 Q^2. Points (x,y) in S have at least one irrational coordinate.
Is S connected? Can we disprove with a counterexample?
Rational/irrational - Tell me whether pi is a rational or irrational number? why?
What about non-terminating repeating decimals such as (9.252525 or 3.191919)? Are these rational or irrational?