The 1954 Statelessness Status Convention provided a definition of a stateless person (which has since become part of customary international law, according to the International Law Commission), and sets out a number of rights that stateless persons should enjoy.
The ratio of two integers P and Q can be expressed as P : Q or P/Q. In both cases, you may divided P and Q by their greatest common factor so as to express the ratio in its simplest form.
Assume that rxis rational. Then we can write rx = cd for some integers c and d. But thenx =crd=c ab d=bcad;and thus x is rational, which is a contradiction. Therefore, rx is irrational.Problem 2 (WR Ch 1 #2). Prove that there is no rational number whose square is 12.Solution. Let x be a rational number such that x 2 = 12. Then we can write x = ab, andfurthermore, we can choose a and b to be relatively prime (which means there is no primenumber dividing both a and b), so that the fraction ab is written in lowest terms.