Simplify:
`(4+sqrt6)/(4-sqrt6)`+ `(4-sqrt6)/(4+sqrt6)`

Simplify: (4+\ sqrt(5))/(4-sqrt(5))+(4-\ sqrt(5))/(4+\ sqrt(5))

Simplify : (sqrt(2))/(sqrt(6)-sqrt(2))- (sqrt(3))/(sqrt(6)+sqrt(2))

(5+sqrt(6))/(5-sqrt(6))times(5+sqrt(6))/(5+sqrt 6)

1. Find (sqrt6-1)(-sqrt6-1)

Simplify: sqrt(-4) + sqrt(-16)- sqrt(-25)

Simplify (7sqrt3)/(sqrt10+sqrt3)-(2sqrt5)/(sqrt6+sqrt5)-(3sqrt2)/(sqrt15+3sqrt2)

Simplify: -sqrt((-7)/(4))-sqrt((-1)/(7))

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

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Simplify : 3sqrt(-16)-2sqrt(-9)+4sqrt(-36)