- #1

guroten

- 32

- 0

## Homework Statement

Prove these propositions

## Homework 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.

## 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.