`(sqrt(2root(3)(3))*root(3)(3sqrt(2)))/(3sqrt(2sqrt(3))*sqrt(3root(3)(2)))`

(sqrt(2)(2+sqrt(3)))/(sqrt(3)(sqrt(3)+1))-(sqrt(2)(2-sqrt(3)))/(sqrt(3)(sqrt(3)-1))

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

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

root(3)(1+sqrt(2)).root(6)(3-2sqrt2)= ?

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))

sqrt(2)times root(3)(2)times root(6)(2)

The greatest of sqrt(2),root(6)(3),root(3)(4),root(4)(5) is a.sqrt(2)b .root(3)(4)c.root(4)(5)d.root(6)(3)