Simiplify `(1)/(7+4sqrt3)+(1)/(2+sqrt5)`

Simplify (1)/(2+sqrt3)+(3)/(4-sqrt5)+(6)/(7-sqrt8) .

Simplify (1)/(3 - sqrt(8)) - (1)/(sqrt(8) - sqrt(7)) + (1)/(sqrt(7) - sqrt(6)) - (1)/(sqrt(6) - sqrt(5)) + (1)/(sqrt(5) - 2)

Simplify : 1/(2+sqrt3) + (3)/(4-sqrt5) + 6/(7-sqrt8)

Simplify (1)/(sqrt3+sqrt2)+(1)/(sqrt3-sqrt2)

The length of the chord of the parabola y^2=x which is bisected at the point (2, 1) is (a) 2sqrt(3) (b) 4sqrt(3) (c) 3sqrt(2) (d) 2sqrt(5)

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

The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),sin^(-1)alpha are the angles of a triangle is (-1)/(sqrt(2)) (b) 1/2 (c) 1/(sqrt(3)) (d) 1/(sqrt(2))