根号2+1除以根号2-1怎么会得出根号2+1的平方?

分类: 作业答案 • 2022-02-04 22:14:12

问题描述：

答

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