1. (3-sqrt6)/(5-2sqrt6)

2. (2sqrt3-sqrt6)/(5sqrt3+2sqrt6)

Don't you do something with the conjugate or something like that?

3-sqrt6 5+2sqrt6
--------- x --------
5-2sqrt6 5+2sqrt6

yes, exactly. Multiply out the numerator, and in the demoninator you will have 25-24 or 1. Nice.

thanks!!