Simplify:
`(6+sqrt 6)(6-sqrt 6)`

Simplify : i^(-6)

Rationlise the denominator and simplify: ( 12sqrt2)/( sqrt3+ sqrt6)

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

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

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

Simplify: 6\ x\ 112

Simplify :- (i) (6)/(sqrt(2)) (ii) (sqrt(3))/(3) (iii) sqrt((3)/(4)) (iv) (6)/(sqrt(2)) (v) (sqrt(5))/(10) (vi) sqrt((16)/(2))

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

Simplify sqrt(5+2sqrt(6))+sqrt(8-2sqrt(15))

Simplify : a^(6)-b^(6)