根号2+1除以根号2-1怎么会得出根号2+1的平方?

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根号2+1除以根号2-1怎么会得出根号2+1的平方?
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根号2+1除以根号2-1怎么会得出根号2+1的平方?
根号2+1除以根号2-1怎么会得出根号2+1的平方?

根号2+1除以根号2-1怎么会得出根号2+1的平方?
根号2+1除以根号2-1
=(√2+1)/(√2-1)
=[(√2+1)(√2+1)]/[(√2-1)(√2+1)]
=(√2+1)^2 / ((√2)^2-1)
=(√2+1)^2 / (2-1)
=(√2+1)^2

根号2+1除以根号2-1
=(√2+1)/(√2-1)
=(√2+1)(√2+1)/(√2-1)(√2+1)
=(√2+1)²/(2-1)
=(√2+1)²

根号2+1除以根号2-1
=(根号2+1)(根号2+1)÷【(根号2+1)(根号2-1)】
=(根号2+1)²÷(2-1)
=(根号2+1)²÷1
==(根号2+1)²