Rationalise `sqrt((sqrt2-1)/(sqrt2+1))`

(i) Rationalise (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))

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

Rationalise (1)/(sqrt(7)-2)

Rationalise: (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

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

Rationalise (2)/(sqrt(3)+sqrt(5))

If sqrt2=1.4142 then sqrt((sqrt2-1)/(sqrt2+1))=

(i) Rationalise (1)/(sqrt(5)-sqrt(4))

rationalise (4)/(2+sqrt(3)+sqrt(7))

The value of the expression sqrt ((1/(sqrt2+1)+1/(sqrt3+sqrt2)+1/(sqrt4+sqrt3)+.........99 terms is equal to