计算:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbc5951e7df1a57dd3edfdd63262273.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafc2d065c49c83ac49e0608bc356a72.png)
更新时间:2020-07-18 09:01:56
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解答题-计算题
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适中
(0.65)
【推荐2】阅读材料,回答问题:
两个含有二次根式的代数式相乘,如果它们的积不含有二次根式,我们就说这两个代数式互为有理化因式.例如:因为
,
,所以
与
,
与
互为有理化因式.进行二次根式计算时,利用有理化因式,可以化去分母中的根号.
(1)
的有理化因式是________;化简:
________;
(2)化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a61d78317ea5bf598c2d3cd5e8c3c5e4.png)
(3)拓展应用:已知,
,
,
,
试比较a,b,c的大小,并说明理由.
两个含有二次根式的代数式相乘,如果它们的积不含有二次根式,我们就说这两个代数式互为有理化因式.例如:因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e572c87d2e219fddfb8b35acea787a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35e58eaf847601c875f4597e910b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d012d124f04963fb72a68af40d5f8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d012d124f04963fb72a68af40d5f8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f190b17530d81d927c358ac84757a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e01955f8c8fe2f0041b35d8d602a7.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5246364ca8d76ddd707a001fe98cbb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2904ee0aa329034ba204652f50288655.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a61d78317ea5bf598c2d3cd5e8c3c5e4.png)
(3)拓展应用:已知,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8be7b0e683d1a91bb375ebd3d0834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a1a7dbc57be9d261e229e40dd8229a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec12f8884ec772dcdd93a51d24ef4b9a.png)
试比较a,b,c的大小,并说明理由.
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