Simplify `sqrt((1+sqrt3)^2/4+(1-sqrt3)^2/4)`

Simplify (sqrt3+2)^2-(sqrt3-2)^2

Simplify (1)/(sqrt(7)+sqrt(3)-sqrt(2))

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

Simplify ((sqrt(3))/(2))^(2)-(sqrt(3))^(2)+(sqrt(2))^(2)+(1)/(2)

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

Simplify : 4sqrt(2)-2sqrt(8)+(3)/(sqrt(2))

Simplify: (2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))( ii) (5+2sqrt(3))/(7+4sqrt(3))

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

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))