If `sqrt(8-2sqrt(12))=sqrt(x)-sqrt(y)` then find `log_x 216 + log_y 128`

Evaluate (sqrt(x)+sqrt(y))(sqrt(x)-sqrt(y))

if x=(sqrt(10)+sqrt(2))/(2) and y=(sqrt(10)-sqrt(2))/(2) then the value of log_(2)(x^(2)+xy+y^(2))

If y=log(sqrt(x) + sqrt(x-a)) , then (dy)/(dx) is

If x=(sqrt5+sqrt2)/(sqrt5-sqrt2) and y=(sqrt5-sqrt2)/(sqrt5+sqrt2) then find the value of (3x-2y)(x+2y)

4^((x/y)-((3y)/x))=16,sqrt(x)-sqrt(2y)=sqrt(12)-sqrt(8) are system of equations. then the value of x+y is

log_(2)sqrt(x)+log_(2)sqrt(x)=4

If x-(2)/(sqrt(10)-sqrt(8)),y-(2)/(sqrt(10)+2sqrt(2)) , then (x-y)^(2) =

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is

If y=log(x+sqrt(x^(2)+a^(2)) then find (dy)/(dx)