Value of:- `(5+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))`

If sqrt(3) = 1.73 find the value of : (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)-1)/(sqrt(3)+1)-(sqrt(3)+1)/(sqrt(3)-1) .

(3+sqrt(2))(2-sqrt(3))(3-sqrt(2))(2+sqrt(3))

If a =( 4sqrt(6))/(sqrt(2)+sqrt(3)) then the value of (a+2sqrt(2))/(a-2sqrt(2))+(a+2sqrt(3))/(a-2sqrt(3))

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

Rationalize the denominator: (2 + sqrt 3)/(2 - sqrt 3) + (2 - sqrt 3)/(2 + sqrt 3) + (sqrt 3 - 1)/(sqrt 3 + 1)

The value of sqrt(5+2sqrt(6)) is (a) sqrt(3)-sqrt(2) (b) sqrt(3)+sqrt(2) (c) sqrt(5)+sqrt(6) (d) none of these

(i) If x = (6ab)/(a + b) , find the value of : (x + 3a)/(x - 3a) + (x + 3b)/(x - 3b) . (ii) a = (4sqrt(6))/(sqrt(2) + sqrt(3)) , find the value of : (a + 2sqrt(2))/(a - 2sqrt(2)) + (a + 2sqrt(3))/(a - 2sqrt(3)) .

Write the value of (2+sqrt(3))(2-sqrt(3))

Rationalize the denominator of : (i) (2sqrt(3))/sqrt(5)" (ii) "1/(sqrt(3)-sqrt(2))

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)