Suppose $(x,y),(a,b)\in \mathbb{R}^2\setminus\mathbb{Q}\times\mathbb{Q}$.  Then either $x$ or $y$ is irrational.  Suppose $x$ is irrational.  Then there's a path from $(x,y)$ to $(x,b)$ that remains in $\mathbb{R}^2\setminus\mathbb{Q}\times\mathbb{Q}$, namely, the second coordinate changes from $y$ to $b$ while $x$ stays put.  Now you have to get from $(x,b)$ to $(a,b)$ along a path.  If $b$ is irrational, you do it the same way except that it's the $x$-coordinate that changes, from $x$ to $a$.  If $b$ is rational, then you're going to need to put the "horizontal" path elsewhere than at $b$ and use two vertical paths instead of one.

Formal proof that $\mathbb{R}^{2}\setminus (\mathbb{Q}\times \mathbb{Q}) \subset \mathbb{R}^{2}$ is connected.
I have created multiple ssh accounts on a Cisco ASA 5510. Users login with a password and everything works fine. I would now like to use the authorized_keys feature of ssh so that users can log into the ASA without a password. Is this possible?

Thanks!
