sqrt(a+b+2x+2sqrt(ab+(a+b)x+x^(2)))=

If (sqrt(a + 2b) + sqrt(a - 2b))/(sqrt(a + 2b) - sqrt(a - 2b)) = sqrt3 and a^(2) + b^(2) = 1 , then the find values of a and b. (b) If sqrt((x - sqrt(a^(2) - b^(2)))^(2) + y^(2)) + sqrt((x + sqrt(a^(2) - b^(2)))^(2) + y^(2)) = 2a then prove that (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1

If 2x = sqrt((a)/(b)) - sqrt((b)/(a)) , then show that (2a sqrt(1 + x^(2)))/(x + sqrt(1 + x^(2))) = a + b

If x=(sqrt(a+2b)+sqrt(a-2b))/(sqrt(a+2b)-sqrt(a-2b)) then bx^(2)+b =

Sove : 2 sqrt(x/a) + 3 sqrt(a/x) = b/a + (6a)/b

Evaluate: int_sqrt((3a^2+b^2)/2)^sqrt((a^2+b^2)/2) (x*dx)/(sqrt((x^2-a^2)(b^2-x^2)))

Evaluate: int_sqrt((3a^2+b^2)/2)^sqrt((a^2+b^2)/2) (x*dx)/(sqrt((x^2-a^2)(b^2-x^2)))

The value of lim_(x rarr a)(sqrt(x-b)-sqrt(a-b))/(x^(2)-a^(2))

lim_(x rarr a)(sqrt(x-b)-sqrt(a-b))/(x^(2)-a^(2))

If Lim_(x rarr a) (sqrt(x-b)-sqrt(a-b))/(x^(2)-a^(2))(a gt b) = 1/64 and Lim_(x rarr oo) (sqrt(x^(2)+ax)-sqrt(x^(2)+bx)) = 2 then the value of a/b, is