化简下列两个根式(简单)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/17 17:33:44
化简下列两个根式(简单)
题在这里:
![](http://img.wesiedu.com/upload/b/1a/b1a919ad453b084d9e766ec00f078563.jpg)
题在这里:
![](http://img.wesiedu.com/upload/b/1a/b1a919ad453b084d9e766ec00f078563.jpg)
![化简下列两个根式(简单)](/uploads/image/z/15856868-20-8.jpg?t=%E5%8C%96%E7%AE%80%E4%B8%8B%E5%88%97%E4%B8%A4%E4%B8%AA%E6%A0%B9%E5%BC%8F%EF%BC%88%E7%AE%80%E5%8D%95%EF%BC%89)
(1)原式=(1/x+x+1)(1/√x+√x)
=(1+x+x²)/x·(1-x)/√x
=(1-x³)/x√x
(2)设xˆ-2/3=a yˆ-2/3=b
原式=(a³+b³)/(a+b)-(a³-b³)/(a-b)
=a²-ab+b²-(a²+ab+b²)
=-2ab
=-2xˆ-2/3·y-2/3
=(1+x+x²)/x·(1-x)/√x
=(1-x³)/x√x
(2)设xˆ-2/3=a yˆ-2/3=b
原式=(a³+b³)/(a+b)-(a³-b³)/(a-b)
=a²-ab+b²-(a²+ab+b²)
=-2ab
=-2xˆ-2/3·y-2/3