计算
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87b5ff2a12b7b930bfc6c6b008b4b0d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87b5ff2a12b7b930bfc6c6b008b4b0d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f39f634692dce28504fa1b95272f57.png)
更新时间:2023-12-18 23:14:19
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【推荐2】[阅读材料]
材料一:把分母中的根号化去,使分母转化为有理数的过程,叫做分母有理化,通常把分子、分母乘以同一个不等于0的式子,以达到化去分母中根号的目的.
例如,化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91c33ebbacfc3e46515737af771e9c.png)
解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80030b47b8a48743d591d90284d786bc.png)
材料二:化简
方法,如果能找到两个实数m,n,使
,并且
,那么
.
例如,化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fac3fe9e187a58f70691fb54e136eac.png)
解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4201ca8fe962f5834ee45eedfc2688.png)
【理解应用】
(1)填空:化简
的结果等于______.
(2)计算:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2281c517b2089febbe9370fa56ac2a11.png)
②
材料一:把分母中的根号化去,使分母转化为有理数的过程,叫做分母有理化,通常把分子、分母乘以同一个不等于0的式子,以达到化去分母中根号的目的.
例如,化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a91c33ebbacfc3e46515737af771e9c.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80030b47b8a48743d591d90284d786bc.png)
材料二:化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79302e44ec001a6f493b466325e0e5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e30fe2547f71f7505e99a0dd7188e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/562c62e0442121011d12f10234b95119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60263c751467638ef4a0423ac6abe8da.png)
例如,化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fac3fe9e187a58f70691fb54e136eac.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4201ca8fe962f5834ee45eedfc2688.png)
【理解应用】
(1)填空:化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97abfab79f76bc98b094eeeb81dd923.png)
(2)计算:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2281c517b2089febbe9370fa56ac2a11.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f3b681ac582d5ee841b76b58ba8c0a.png)
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