Simplify `1/(sqrt5+sqrt6)+1/(sqrt6+sqrt7)+1/(sqrt7+sqrt8)+1/(sqrt8+sqrt9)`

1/(sqrt7 - sqrt6)

1/(sqrt7 - sqrt6)

1/(sqrt7 - sqrt6)

The simplest value of (1/(sqrt9-sqrt8)-1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5))

3+ 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))= a)4 b)3 c)2 d) 3-sqrt(8)

Simplify 1/sqrt2+1/(sqrt2+sqrt4)+1/(sqrt4+sqrt6)+1/(sqrt6+sqrt8)

Prove that: 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