[3+(1)/(sqrt(3))+(1)/(3+sqrt(3))+(1)/(sqrt(3)-3)]=?

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

The sequence (1)/(sqrt(3)), (1)/(sqrt(3)+sqrt(2)), (1)/(sqrt(3) + 2 sqrt(2)) form an ........ .

Find the direction cosines of the line which is perpendicular to the lines with direction ratios 4, 1, 3 and 2, -3, 1 . a) (1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3)) b) (5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5) c) (2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3)) d) (1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))

Simplify: (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))

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

(sqrt(3)-sqrt(2))(1)/(sqrt(3))

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