Rationalise `(6-4sqrt(3))/(6+4sqrt(3))`

Rationalise: (5sqrt3-4sqrt2)/(4sqrt3+3sqrt2)

Rationalise: (3+sqrt2)/(4sqrt2)

rationalise (4)/(2+sqrt(3)+sqrt(7))

Simplify each of the following by rationalising the denominator : i) (6-4sqrt(2))/(6+4sqrt(2)) ii) (sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5)) iii) (1)/(3sqrt(2)-2sqrt(3))

Express each one of the following with rational denominator: (sqrt(3)+1)/(2sqrt(2)-sqrt(3))( ii) (6-4sqrt(2))/(6+4sqrt(2))

Express each one of the following with rational denominator: (i) (sqrt(3)+\ 1)/(2sqrt(2)-\ sqrt(3)) (ii) (6-4sqrt(2))/(6+4sqrt(2))

Rationalise: (1)/(sqrt6-sqrt5)

The point on the parabola y^(2) = 8x at which the normal is inclined at 60^(@) to the x-axis has the co-ordinates as (a) (6,-4sqrt(3)) (b) (6,4sqrt(3)) (c) (-6,-4sqrt(3)) (d) (-6,4sqrt(3))

The point on the parabola y^(2) = 8x at which the normal is inclined at 60^(@) to the x-axis has the co-ordinates as (a) (6,-4sqrt(3)) (b) (6,4sqrt(3)) (c) (-6,-4sqrt(3)) (d) (-6,4sqrt(3))

If a=(4sqrt(6))/(sqrt(2)+sqrt(3))