Question 150678
sqrt3         sqrt3
-----    -    -----
sqrt6 -1      sqrt6 + 1
------------------------
To subtract fractions you need to have a common denominator on the fractions.
-------------
Least Common Denominator: (sqrt(6)-1)(sqrt(6)+1) = 6-1 = 5
------------------------
Rewrite the problem with lcm = 5

[(sqrt(3)(sqrt(6)+1) - sqrt(3)(sqrt(6)-1)]/5

[(sqrt(18) + sqrt(3)) - (sqrt(18)-sqrt(3))]/5

= [2sqrt(3)] / 5

= (2/5)*sqrt(3)
=====================
Cheers,
Stan H.