" (i) "(2+sqrt(x))^(4)+(2-sqrt(x))^(4)

Prove that (2+sqrt(x))^(4)+(2-sqrt(x))^(4)= 2(16+24x+x^(2)) .

The tangent at a point P on the curve y =ln ((2+ sqrt(4-x ^(2)))/(2- sqrt(4-x ^(2))))-sqrt(4-x ^(2)) meets the y-axis at T, then PT^(2) equals to :

The tangent at a point P on the curve y =ln ((2+ sqrt(4-x ^(2)))/(2- sqrt(4-x ^(2))))-sqrt(4-x ^(2)) meets the y-axis at T, then PT^(2) equals to :

If x gt 0, and log_(2) + log_(2)(sqrt(x)) + log_(2) (4sqrt(x)) + log_(2) ( 8sqrt(x)) + log_(2) (16sqrt(x)) + ….. = 4 then x =

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

7sqrt(2)x^(2)-10x-4sqrt(2)

sqrt(2)x^(2)+9x+4sqrt(2)

int(sqrt(2+x^(2))-sqrt(2-x^(2)))/(sqrt(4-x^(4)))dx

lim_(x rarr2)(sqrt(x^(3)-4)-2)/(sqrt(20-x^(2))-4)

If x+sqrt(x^(2)-1)+(1)/(x+sqrt(x^(2)+1))=20 then x^(2)+sqrt(x^(4)-1)+(1)/(x^(2)+sqrt(x^(4)-1))=