`(3+sqrt(6))/(sqrt(3)+sqrt(2))`

(6implify:)/(2sqrt(3)-sqrt(6))+(sqrt(6))/(sqrt(3)+sqrt(2))-(4sqrt(3))/(sqrt(6)-sqrt(2))

(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

Given that sqrt(3)=1.732, the value of (3+sqrt(6))/(5sqrt(3)-2sqrt(12)-sqrt(32)+sqrt(50)) is (a) 1.414 (b) 1.732( c) 2.551( d )4.899

(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))=a+b sqrt(6)

Evaluate: (sqrt(3)+sqrt(5))/(sqrt(6)+sqrt(2))