Give an argument for why the square root of 2 cannot be represented
as a fraction. Note that this is the definition of being irrational.
-If you cannot answer this question, then please try this one: Prove the Chinese Remainder Theorem.
Both of these questions are "Formal Write-ups", so they need to be written in a "proof" sort of way, where you state the problem, and then state the proof of the solution you have found.