`sqrt(x)(sqrt(x+1))(2+sqrt(x))`

(1)/(sqrt(x)+sqrt(x+1))+(1)/(sqrt(x+1)+sqrt(x+2))+(1)/(sqrt(x+2)+sqrt(x+3))+...(1)/(sqrt(x+98)+sqrt(x+99))

If x>1 and (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=2 then x

int((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))dx

find x: (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=3/7

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1)*x then

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

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x^(2))-sqrt(1-x^(2))) equals

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))>(3)/(2)

If 1 lt x lt2 then what is the value of sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)) ?