Simplify and rationalize the denominator: 1/(1 + 1/(sqrt(3) + 2)).
\(1\over1+{1\over\sqrt{3}}+2\)
Multiply top and bottom by root3 and combine 1 + 2.
\(\sqrt{3}\over3\sqrt{3}+1\)
Multiply top and bottom by \(3\sqrt{3}-1\)
\(\sqrt{3}(3\sqrt{3}-1)\over(3\sqrt{3}+1)(3\sqrt{3}-1)\)
\(9 - \sqrt{3}\over26\)
That answer is wrong.