(Solved): I need the solution to number 2 Answer ALL questions and show all the necessar ...

???????I need the solution to number 2

Answer ALL questions and show all the necessary steps. QUESTION ONE (A) 1. Piove that \( \sqrt{2} \) is irrational by contradiction. 10 Marks 2. Fixed \( x, y \in \mathbb{R} \), prove that ||\( x|-| y||=|x-y| . \quad 10 \) Marks 3. Prove that \( n^{3}+2 n \) is divisible by 3 for all positive integers values of \( n \) 10 Marks