(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove these propositions

2. Relevant equations

If x is rational, then x + sqrt(2) is irrational.

If x + sqrt(2) is irrational, then x is rational.

If xsqrt(2) is irrational, then x is rational.

3. The attempt at a solution

I've tried a couple of ways, but I always end up at a dead end. usually, I end up assuming what I need to prove.

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# Homework Help: Help with proof

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