Question

prove that root 3 is irrational.
(Ps: i just wanna know the language of the answer)

Answer 1

Answer:

If √3–a/b is equal to a rational, then we can reduce that rational to lowest terms. So w.l.o.g. we may assume it is equal to a rational with a,b having no common factor, which excludes the case a,b both even. The rest of the proof is simpler this way:mod4: odd2≡1 so 1≡a2≡3b2≡3, contradiction.

Answer 2

1. Here; we prove that root 3 is irrational