Question 169760
Rationalize the denominator: 
(sqrt3 - 4 sqrt2) / (2 sqrt3 + 5 sqrt2)
---------------------
Multiply numerator and denominator by 2sqrt(3) - 5sqrt(2) to get:

=[(sqrt(3)-4sqrt(2))(2sqrt(3) - 5sqrt(2)] / [(2sqrt(3))^2 - (5sqrt(2))^2]

= [2*3 -8sqrt(6)-5sqrt(6) + 20*2] / [4*3 - 25*2]

= [46 - 13sqrt(6)] / [-38]

====================================
Cheers,
Stan H.