Simplify \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}.
\( \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}. \)
[ sqrt 2 - sqrt 3 + sqrt 2 + sqrt 3]
__________________________ =
[sqrt 2 + sqrt 3] [ sqrt 2 -sqrt 3]
2sqrt 2
____________ =
2 - 3
- 2sqrt 2