



 
I'll start you with a hint. Because "irrational" is a negative concept, a proof by contradiction is a good bet. Suppose root(2) was rational. What does that mean: That it would be p/q. We can assume "for free" that it's in lowest terms, so we do. What else can you deduce from this based on the asumption that this is root(2)? Now look for a contradiction. Hint: are p and q odd or even? Good Hunting!  


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