`(1)/(2sqrt(7)+sqrt(5))-(1)/(2sqrt(5)+sqrt(7))` simplify

(1)/(sqrt(7)-sqrt(2))-(1)/(sqrt(7)+sqrt(2))=

The simplified form of ( 2)/(sqrt(7) + sqrt(5)) + (7)/(sqrt(12)- sqrt(5)) - (5)/(sqrt(12) - sqrt(7)) is

Prove that (i) (1)/(3+sqrt(7)) + (1)/(sqrt(7)+sqrt(5))+(1)/(sqrt(5)+sqrt(3)) +(1)/(sqrt(3)+1)=1 (ii) (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+(1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6))+(1)/(sqrt(6)+sqrt(7)) +(1)/(sqrt(7)+sqrt(8))+(1)/(sqrt(8) + sqrt(9)) = 2

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

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

(5sqrt(7)+2sqrt(7))(6sqrt(7)+3sqrt(7))=?

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