Question

7√3
———
5-2√6
dashed line is the fraction bar

Answer 1

You want to get rid of the radical (square root symbol) in the denominator.
Multiply the entire fraction by ( 5 + 2sqrt6)/ (5 + 2sqrt6).


So, you get (7*sqrt3)*(5 + 2sqrt6) (35*sqrt3) + (14*sqrt18)
------------------- = ----------------------
(5-2sqrt6)*(5 +2sqrt6) 25 - 4*sqrt36

You're denominator will reduce to 1, and you end up with 35*sqrt3 + 42*sqrt2

Try it and see.