Simplify: `( 3 + sqrt (-1))/ ( 2 - sqrt (-1))`

Simplify : sqrt(3+2sqrt(2))

Simplify: sqrt(3-2sqrt(2))

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

Simplify: (sqrt(-2))/(sqrt(-8))

Simplify: (i) (7+3\ sqrt(5))/(3+\ sqrt(5))-(7-3\ sqrt(5))/(3-\ sqrt(5)) (ii) 1/(2+sqrt(3)\ )+2/(sqrt(5)-\ sqrt(3))+1/(2-\ sqrt(5))

Simplify: (sqrt 3 - sqrt 5)(sqrt 5+ sqrt 3)

Simplify : (3) / ( 5- sqrt3) + (2)/(5+ sqrt3)

Simplify: (i) (5+\ sqrt(5))\ (5-\ sqrt(5)) (ii) (3+2sqrt(2))\ (3-2sqrt(2))

Simplify : (22)/(2sqrt(3)+1)+(17)/(2sqrt(3)-1)

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