Simplify `(1/2sqrt(2-sqrt2))/(1/2sqrt(2+sqrt2))`

Simplify (x-sqrt2)(x+sqrt2)

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

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

Simplify: (3sqrt(2)-2sqrt(2))/(3sqrt(2)+2sqrt(3))+(sqrt(12))/(sqrt(3)-sqrt(2)) (ii) (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

Simplify sqrt(3+2sqrt(2))

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

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

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