Rational Numbers and Proofs - Let R(t) be the field of rational functions. Answer the following (with proofs):
A. If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r? ...
Rational Numbers and Basis - Find a basis for Q(fourth root of 2) over Q, and prove that it is in fact a basis.
Note: Q are the Rational Numbers.
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?