1/√6 - √11 + √5
LCM = √6
(1 - (√6)(√11) + (√5)(√6) ) / √6
(1 - √(611) + √(56) )/ √6
Rationalize the surd by multiplying top and bottom by √6
((1 - √(611) + √(56) )/ √6) (√6/√6)
(√6 - √(6611) + √(56*6)) / √6
(√6 - 6√(11) + 6√(5)) / 6
So answer is:
(√6 - 6√11 + 6√5) / 6
