Simplify :
`(( 3 + iota sqrt(3) )/( 3 + iota sqrt(2) ))` `( ( 3 - iota sqrt(2) )/ ( 3 - iota sqrt(2) ))`

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

Simplify: (i) (2 sqrt(2) + 3 sqrt(3)) (2 sqrt(2) - 3 sqrt(3)) (ii) (2 sqrt(8) - 3 sqrt(2))^(2) (iii) (sqrt(7) + sqrt(6))^(2) (iv) (6 - sqrt(2))(2 + sqrt(3))

Simplify: a.(4 iota^(3)-iota)/(2 iota+1) b.(sqrt(3)+iota)^(6)

Simplify (3 + sqrt(3))(2+sqrt(2))^(2) .

Simplify: (sqrt3 +1 ) (sqrt 3 - 1) (2 + sqrt 3) ( 2 - sqrt3)

Simplify: (2 +sqrt 3)/(2-sqrt3) + (sqrt 3)/(sqrt 3)

Simplify (20)/(sqrt3-sqrt(-2))+(30)/(3 sqrt(-2)-2sqrt3)-(14)/(2 sqrt3- sqrt(-2))

((-1+iota sqrt(3))/(2))^(-8)+((-1+iota sqrt(3))/(2))^(-8) is equal to

[(sqrt3 + sqrt2 )/(sqrt3 - sqrt2) - (sqrt3 - sqrt2)/(sqrt3 + sqrt2)] simplifies to