`(1+sqrt-2)/(3+sqrt-2)=?`

(1+sqrt(2))/(3-2sqrt(2))=A sqrt(2)+B

Rationales the denominator and simplify: (1+sqrt(2))/(3-2sqrt(2))( ii) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6))

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

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

Simplify P=(1)/(2sqrt(1)+sqrt(2))+(1)/(3sqrt(2)+2sqrt(3))+...+(1)/(100sqrt(99)+99sqrt(100))

(1-sqrt2)^(1/3)(2sqrt2+3)^(1/6)

x=(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+2)=

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