# How do you rationalize the denominator and simplify: 2 / (5 - sqrt 2)?

To rationalize, multiply the numerator and the denominator by the conjugate of 5-$\sqrt{2}$. This is 5+$\sqrt{2}$.
Accordingly it is 2(5+$\sqrt{2}$)/(5-$\sqrt{2}$)(5+$\sqrt{2}$)
= 2(5+$\sqrt{2}$)/(25-2)
= $\frac{2}{23}$ (5+$\sqrt{2}$)