(2+根号3)2003次方X(2-根号3)2004次方
=[1/(2-√3)]的2003次方*(2-√3)的2003次方*(2-√3)
=1*(2-√3)
=2-√3
(2 + √3)^ 2003 × (2 - √3)^ 2004
= (2 + √3)^ 2003 × (2 - √3)^ 2003 × (2 - √3)
= (2 + √3)(2 - √3)^ 2003 × (2 - √3)
= (4 - 3)^ 2003 × (2 - √3)
= 1 ^ 2003 × (2 - √3)
= 1 × (2 - √3)
= 2 - √3