`frac{2sqrt 6 -sqrt 5}{sqrt 5 -2sqrt 6}`

2sqrt5 - sqrt5 = sqrt5

Rationalize the denominator 1/(sqrt 3 - sqrt 2) - 2/(sqrt 5 - sqrt 3) + 3/(sqrt 5 - sqrt 2)

Rationalies the denominator and simplify: (i) (1+sqrt(2))/(3-2sqrt(2)) (ii) (2sqrt(6)-\ sqrt(5))/(3sqrt(5)-\ 2sqrt(6))

Prove that cot 7 ""(1^(@))/(2) = sqrt2 + sqrt3 + sqrt4 + sqrt6 = (sqrt3 + sqrt2) (sqrt2 +1 ).

Prove that tan 7 (1^(@))/(2) = sqrt2 - sqrt3 -sqrt4 + sqrt6 = (sqrt3 - sqrt2) (sqrt2 -1).

2/sqrt6 xx 3/sqrt6 + 2/6

(sqrt(6+2sqrt(5)))(sqrt(6-2sqrt(5)))

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

The value of |{:(sqrt(13 )+ sqrt(3), 2sqrt(5),sqrt(5)),(sqrt(15) + sqrt(26),5,sqrt(10)),(3 + sqrt(65), sqrt(15),5):}|

A hyperbola is given with its vertices at (-2,0) and (2,0) one of the foci of hyperbola is (3,0) . Then which of the following points does not lie on hyperbola (A) (sqrt24,5) (B) (sqrt44, 5sqrt2) (C) (sqrt44, -5sqrt2) (D) (-6, 5sqrt2)