Evaluate for y :
`( sqrt(y) + sqrt(5) ) /( sqrt(y ) - sqrt(5) )` = 3

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

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

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

The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5 , which are inclined at 60^0 to the X-axis are : (A) y = x/sqrt(3) +- sqrt(65/12) (B) y = sqrt(3) +- sqrt(65/12) (C) y = sqrt(3)x +- sqrt(12/65) (D) none of these

find the value of y: sqrt(y+6) - sqrt(y-1)=sqrt(y-9)

Evaluate |[sqrt(3), sqrt(5)],[-sqrt(5), 3sqrt(3)]|

If x=sqrt(7)-sqrt(5) and y=sqrt(13)-sqrt(11) then