# Prove that the square root of 3 is not rational

1. Mar 2, 2008

### chocolatelover

1. The problem statement, all variables and given/known data
Show that the square root of 3 is not rational

2. Relevant equations

3. The attempt at a solution

A number is irrational if χ is not ε. Q=p/q: p, q ε z and q is not=0, z=integers

If p/q: p, q is not ε or q=0, then square 3 is rational. If p=square root of 3 and q is not ε, then the square root of 3 cannot be rational.

Could someone please tell me if this is correct and if not show me what I need to do?

Thank you very much

2. Mar 2, 2008

### Pacopag

What is your $$\epsilon$$?
Do you know how to show that $$\sqrt{2}$$ is irrational?

3. Mar 2, 2008

### chocolatelover

x ε is "x is an element of x" Yes, I do.

Thank you very much

Now I know how to do it

Regards