`(sqrt(3)-sqrt(2))(sqrt(3)+sqrt(2))`

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))

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

([(sqrt(2)+i sqrt(3))+(sqrt(2)-i sqrt(3))])/([(sqrt(3)+1sqrt(2))+(sqrt(3)-1sqrt(2))])

The value of sqrt(3-2sqrt(2)) is sqrt(2)-1(b)sqrt(2)+1(c)sqrt(3)-sqrt(2)(d)sqrt(3)+sqrt(2)

By how much does sqrt(12)+sqrt(18) exceed sqrt(3)+sqrt(2)?sqrt(2)-4sqrt(3)(b)sqrt(3)+2sqrt(2)(c)2(sqrt(3)-sqrt(2))(d)3(sqrt(3)-sqrt(2))

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

Evaluate: (sqrt(3)+sqrt(2))^6+(sqrt(3)+sqrt(2))^6

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

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

The value of ((sqrt(sqrt(3)+1)+sqrt(sqrt(3)-1))^(2)(sqrt(3)-sqrt(2)))/((sqrt(sqrt(3)+1))^(2)-(sqrt(sqrt(3)-1))^(2)) is