Simplify `(sqrt4+sqrt3)/(sqrt4-sqrt3)+(sqrt4-sqrt3)/(sqrt4+sqrt3)`

Simplify (sqrt3+sqrt5)(sqrt3-sqrt5)

Simplify (sqrt3+sqrt2)/(sqrt3+sqrt6)

Simplify (sqrt3-sqrt5)(sqrt5+sqrt3)

Simplify (sqrt5 - sqrt3)(sqrt5 + sqrt 3)

Simplify ((sqrt3+sqrt5)(sqrt5+sqrt2))/(sqrt2+sqrt3+sqrt5)

Simplify (3sqrt5-5sqrt2)(4sqrt5+3sqrt2)

Simplify (1/2+1/sqrt2-sqrt3)/(sqrt3-1/sqrt2-1/sqrt3)

Rationalise the denominator of the following (i) 2/(3sqrt3) , (ii) sqrt40/sqrt3 ,(iii) (3+sqrt2)/(4sqrt2) (iv) 16/(sqrt41-5) ,(v) (2+sqrt3)/(2-sqrt3) , (vi) sqrt6/(sqrt2+sqrt3) (vii) (sqrt3+sqrt2)/(sqrt3-sqrt2) ,(viii) (3sqrt5+sqrt3)/(sqrt5-sqrt3) , (ix) (4sqrt3+5sqrt2)/(sqrt48+sqrt18)

sqrt(7+4sqrt3) - sqrt(7-4sqrt3) =