Evaluate in terms of given form :
`( sqrt(3) -1 )/ ( sqrt(3) +1 ) = x + y sqrt(3) `

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

A circle C of radius 1 is inscribed in an equilateral triangle PQR . The points of contact of C with the sides PQ, QR, RP and D, E, F respectively. The line PQ is given by the equation sqrt(3) +y-6=0 and the point D is ((sqrt(3))/(2), 3/2) . Equation of the sides QR, RP are : (A) y=2/sqrt(3) x + 1, y = 2/sqrt(3) x -1 (B) y= 1/sqrt(3) x, y=0 (C) y= sqrt(3)/2 x + 1, y = sqrt(3)/2 x-1 (D) y=sqrt(3)x, y=0

If (sqrt(3)-1)/(sqrt(3)+1)=x+y sqrt(3), find the value of x and y

Find the 8th term of the G.P. sqrt(3),(1)/(sqrt(3)),(1)/(3sqrt(3)), ....

Find x if (sqrt(3x +1) + sqrt(3x - 6))/(sqrt(3x + 1) - sqrt(3x - 6)) = 7

Evaluate (sqrt(3)-1/sqrt(3))/(1+sqrt(3)(1/sqrt(3)))

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

Find: n th term of the G.P.sqrt(3),(1)/(sqrt(3)),(1)/(3sqrt(3))

Find the sum: 3+(1)/(sqrt(3))+(1)/(3+sqrt(3))-(1)/(3-sqrt(3))