# How do you rationalize the denominator and simplify the answer for 2/(5+sqrt3?

$\frac{1}{11}$( 5-$\sqrt{3}$)
To rationalize the denominator, multiply the numerator as well as denominator by the conjugate of 5+$\sqrt{3}$, which is 5-$\sqrt{3}$.
2/(5+sqrt3 * (5-sqrt3)/(5-sqrt3)
Since (5+$\sqrt{3}$)(5-$\sqrt{3}$) equals to (25-3)=22, we have the given fraction equal to $\frac{2}{22}$ (5-sqrt3)
=$\frac{1}{11}$ (5-$\sqrt{3}$)