更新时间:2023-06-18 07:50:50
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解答题-计算题
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【推荐1】把根式
进行化简,若能找到两个数
、
,使
且
,则把
变成
,然后开方,从而使得
化简.
例如:化简
.
解:∵
,
∴
.
利用上述方法完成下列各题(结果要化为最简形式):
(1)
___________;
(2)
___________;
(3)当
时,化简
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9854e4de421784e749b6cfeda612d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191b0ca0ce0d98e7d040b0d70b23d017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ead83a52c433d9d784148579af0bb4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c78236d96350faf1c842585d9e747e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf058903773624156192980385dde77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9854e4de421784e749b6cfeda612d1.png)
例如:化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f52a49827b10ed69c411a4fc24b7ea.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b2d4b3fc4fe9550d30c5a9936c28a3.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480dcc40b76180b3737febc8b55088d3.png)
利用上述方法完成下列各题(结果要化为最简形式):
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5446a293ea1cde2d94d517a29df9c4ea.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c7585d51805493856cf99e5e96c682.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95842ad442c7f6d5ec4b32939b929e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02006c5ecb0b1257d776c4317766c3.png)
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