Simplify
`(a) (sqrt(8)-sqrt(6))^2`
`(b) (sqrt(5)-sqrt(8))^2`

Simplify the following expressions : (a) (sqrt(3)+sqrt(5))^(2) (b) (sqrt(5)-sqrt(2))^(2)

Simplify (a) (sqrt(5)+sqrt(3))/(sqrt(2)) +2 (b) (sqrt3+sqrt2)/(sqrt3+sqrt6)-4

Simplify (sqrt(2)-1+sqrt(6))/sqrt(5)

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 : (5+sqrt(5))(5-sqrt(5)) (ii) (3+2sqrt(2))(3-2sqrt(2))

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

Simplify (sqrt(3)+sqrt(2))/(sqrt(5)-sqrt(2))

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

Simplify (1)/(sqrt(6)-sqrt(5))+sqrt(6)-sqrt(5)