(sqrt(4x+1)+sqrt(x+3))/(sqrt(4x+1)-sqrt(x+3))=(4)/(1)

(1)/(sqrt(x+3)-sqrt(x-4))

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

(sqrt(x)+sqrt(3))^(4)+(sqrt(x)-sqrt(3))^(4)

lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))= _________.

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

int_(1)^(3)(sqrt(4-x))/(sqrt(x)+sqrt(4-x))dx=

The value of lim_(xto2) (((x^(3)-4x)/(x^(3)-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))" is "

The value of f(x,y)=((4sqrt(x^(3)y)-4sqrt(x^(3)))/(sqrt(y)-sqrt(x))+(1+sqrt(xy))/(4sqrt(xy)))^(-2)(1+2sqrt((y)/(x))+(y)/(x))^((1)/(2)) when x=9,y=0.04

( Solve )/(sqrt(x+3-4sqrt(x-1)))+sqrt(x+8-6sqrt(x-1))=1