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

Find the values of a and b if (6)/(3sqrt(2)-2sqrt(3))=a sqrt(2)-b sqrt(3)

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(3sqrt(2)+2sqrt(3))/(3sqrt(2)-2sqrt(3))=

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

(3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2))

Simplify: (3sqrt(2)-2sqrt(2))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2)) (ii) (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

Show that : (3sqrt(2)-2sqrt(3))/(3sqrt(2)+2sqrt(3))+(2sqrt(3))/(sqrt(3)-sqrt(2))=11

The value of 2(sqrt(2)+sqrt(6))/(3sqrt(2+sqrt(3)))+sqrt(2+sqrt(3))+sqrt(2-sqrt(3))

(2sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3))-(8sqrt(3))/(sqrt(6)+sqrt(2))

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