How do you rationalize the denominator and simplify sqrt22/sqrt55?

$\frac{\sqrt{10}}{5}$
To begin with cancel out the numerator and denominator by $\sqrt{11}$. We are left with $\frac{\sqrt{2}}{\sqrt{5}}$. To rationalize the denominator, multiply the numerator and the denominator by $\sqrt{5}$. This would lead to $\frac{\sqrt{10}}{5}$