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

Find the number of terms in the expansions of the following: (sqrt(x)+sqrt(y))^(10)+(sqrt(x)-sqrt(y))^(10)

y=sqrt(x+sqrt(x))

given x=(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3)),y=(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3)) find the value of x^(4)+y^(4)+(x+y)^(4)

Evaluate : ( sqrt(2)x + sqrt(3)y ) ( sqrt(2)x + sqrt(3)y )

If the number x,y,z are in H.P.,then (sqrt(yz))/(sqrt(y)+sqrt(z)),(sqrt(xz))/(sqrt(x)+sqrt(z)),(sqrt(x))/(sqrt(x)+sqrt(y)) are in

If x=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)) and y=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)), find the value of x^(2)-y^(2)