[根号2-1分之根号2+1*(2根号2-3)]de 2005次方等于多少

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[根号2-1分之根号2+1*(2根号2-3)]de 2005次方等于多少
[根号2-1分之根号2+1*(2根号2-3)]de 2005次方等于多少

[根号2-1分之根号2+1*(2根号2-3)]de 2005次方等于多少
[(√2-1)/( √2+1)] ×(2√2-3)
=(√2-1)² ×(2√2-3)
=(2√2+3) (2√2-3)
=8-9
= -1,
∴所求的值为-1的2005次方= -1