1. If is rational ( ) and is irrational, prove that and are irrational. So where . So then and somehow have to be irrational.
2. Prove that there is no rational number whose square is . So maybe use a proof by contradiction (i.e. assume that )?
1. If is rational ( ) and is irrational, prove that and are irrational. So where . So then and somehow have to be irrational.
2. Prove that there is no rational number whose square is . So maybe use a proof by contradiction (i.e. assume that )?