Simplify `1/(sqrt2-1)-1/(sqrt3-1)+1/(sqrt4-1)`

Simplify (1/2+1/sqrt2-sqrt3)/(sqrt3-1/sqrt2-1/sqrt3)

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

( Simplify: )/(sqrt(100)-sqrt(99))-(1)/(sqrt(99)-sqrt(98))+(1)/(sqrt(98)-sqrt(97))-(1)/(sqrt(97)-sqrt(96))+backslash+(1)/(sqrt(2)-sqrt(1))

5.Simplify: (1/sqrt 2)/((2/sqrt3)+2)

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

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

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

Simplify: (sqrt3 +1 ) (sqrt 3 - 1) (2 + sqrt 3) ( 2 - sqrt3)