`((sqrt(7)+sqrt(3)))/((sqrt(7)-sqrt(3)))+((sqrt(7)-sqrt(3)))/((sqrt(7)+sqrt(3)))+((sqrt(3)-1))/((sqrt(3)+1))+((sqrt(3)+1))/((sqrt(3)-1))=?`

(2sqrt(7))/(sqrt(5)-sqrt(3))

(sqrt(5)+sqrt(3))(sqrt(7)-sqrt(3))

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

(sqrt(3)-sqrt(5))(sqrt(3)+sqrt(5))/(sqrt(7)-2sqrt(5))

(sqrt(7)-sqrt(5))^3 - (sqrt(7)+sqrt(5))^3

([(sqrt(2)+i sqrt(3))+(sqrt(2)-i sqrt(3))])/([(sqrt(3)+1sqrt(2))+(sqrt(3)-1sqrt(2))])

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =

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

(1)/(sqrt(11-2sqrt(30)))-(3)/(sqrt(7-2sqrt(10)))-(4)/(sqrt(8+4sqrt(3)))