If `y=2+sqrt(3)`,find the value of `y^(2)+(1)/(Y^(2))`

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

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

If y^(2)-2y-3=0 , find the values of y.

If sqrt(x+y)+sqrt(y-x)=2 , then the value of (d^(2)y)/(dx^(2)) is equal to

If x=4 and y=1, find the value of ((x)/(2)-(y)/(3))((x^(2))/(4)+(xy)/(6)+(y^(2))/(9)) .

If x : y=2:3, find the value of (3x+2y):(2x+5y)dot

If x=2 and y=5 find the values of : (3x)/(2y)

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

If x=2 and y=5 find the values of : 2x+3y

If x = 2 and y = 1, Find the value of (-4x^(2)y^(3)) xx (-5x^(2)y^(5)) .