Simplify `(sqrt6-sqrt3)(sqrt6+4)`

Simplify 14/(sqrt6-sqrt5-sqrt11)

Simplify (sqrt3-sqrt5)(sqrt5+sqrt3)

Simplify 6sqrt3+5sqrt12

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

Simplify (sqrt3+sqrt2)^6+(sqrt3-sqrt2)^6

30. Simplify 7sqrt(6)-sqrt(252)-sqrt(294)+6sqrt(7)

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

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) (ii) (5+2sqrt(3))/(7+4sqrt(3)) (iii) (1+sqrt(2))/(3-2sqrt(2)) (2sqrt(6)-sqrt(5))/(3sqrt(5)-2sqrt(6)) (v) (4sqrt(3)+5sqrt(2))/(sqrt(48)+sqrt(18)) (vi) (2sqrt(3)-sqrt(5))/(2sqrt(3)+3sqrt(3))

Simplify (sqrt3+sqrt5)(sqrt3-sqrt5)