小明在做二次根式的化简时,遇到了比较复杂的二次根式
,通过资料的查询,他得到了该二次根式的化简过程如下
=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a71760e109d20f758feec5e80a10c81.png)
=
=![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53204688086b1d0111e91cb49fa0ac61.png)
(1)结合以上化简过程,请你动手尝试化简
.
(2)善于动脑的小明继续探究:当a,b,m,n为正整数时,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3e11dcc1a9891c9fa0d953a9a329e9.png)
,所以
,若
,且a,m,n为正整数,
;求a,m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e7e0ea244eab7534406abfdf22e26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1ce08269a5f00e53d62e855dcc13bf.png)
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a71760e109d20f758feec5e80a10c81.png)
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273f313397979777756ee5edee5b83a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100493d5ef82f5b8001b73e9954224e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bfe30380decb4ba3f9a6b0598ed922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53204688086b1d0111e91cb49fa0ac61.png)
(1)结合以上化简过程,请你动手尝试化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f985ec35b18326e1ccd843dd9031942f.png)
(2)善于动脑的小明继续探究:当a,b,m,n为正整数时,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bad96bcbe3e1d32288a8e412cfb04236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917d734532d47e5416bfd8b78dfaa3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3e11dcc1a9891c9fa0d953a9a329e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739c4e1ef996cb71a660dd1898d1c68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dedbf3c6b6f5a867d7c53c2acd7cdc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38c23433c8657ecbed624c0861baa69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917d734532d47e5416bfd8b78dfaa3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091d529281abff275ef19b9197445a7.png)
22-23八年级上·江西抚州·期中 查看更多[5]
江西省抚州市南城县2022-2023学年八年级上学期期中考数学试卷(已下线)专题16.10 二次根式(全章复习与巩固)(知识讲解)-2022-2023学年八年级数学下册基础知识专项讲练(人教版)(已下线)专题1.10 二次根式(全章复习与巩固)(知识讲解)-2022-2023学年八年级数学下册基础知识专项讲练(浙教版)(已下线)专题16.10 二次根式(全章复习与巩固)(知识讲解)-2022-2023学年八年级数学下册基础知识专项讲练(沪科版)(已下线)专题12.10 二次根式(全章复习与巩固)(知识讲解)-2022-2023学年八年级数学下册基础知识专项讲练(苏科版)
更新时间:2022-11-13 12:53:11
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【推荐2】已知a是一元二次方程
的两个实数根中较小的根.
(1)求
的值;
(2)化简求值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41527a0e6cee74e1177777a168ec81de.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2978f6381185a9b20be3716c1ca541.png)
(2)化简求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54dfc4241eabebcf09382d2e8009d66.png)
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