计算
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e2f1f9d1ea1f8d800796a59ec437d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e2f1f9d1ea1f8d800796a59ec437d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361ec8f5dcb3c89b337be0f583ed28f8.png)
21-22八年级下·山东德州·期中 查看更多[3]
山东省德州市禹城市2021-2022学年八年级下学期期中数学试题(已下线)专题2.1 二次根式混合运算与化简求值(50题) 专题训练-2022-2023学年八年级数学上册重难题型全归纳及技巧提升专项精练(北师大版)(已下线)专题12.2 二次根式混合运算与化简求值(50题)专项训练-2022-2023学年八年级数学下册重难题型全归纳及技巧提升专项精练(苏科版)
更新时间:2022-08-14 15:26:28
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【推荐1】计算:-15+|3-
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
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【推荐2】数学老师让同学们根据二次根式的相关内容编写一道题,以下是数学老师选出的两道题和她自己编写的一道题.先阅读,再回答问题.
(1)小青编的题.观察下列等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b611f053bff843240c860b0ae1f8d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b278b9039ebf9483efd1da8ee8417eb3.png)
直接写出以下算式的结果:
;
(2)小明编的题,由二次根式的乘法可知:
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a753d86c1dab9126bae9ec032114832.png)
再根据平方根的定义可得
,
,
,
直接写出以下算式的结果:
;
(3)数学老师编的题,根据你的发现,完成以下计算:
(1)小青编的题.观察下列等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b611f053bff843240c860b0ae1f8d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b278b9039ebf9483efd1da8ee8417eb3.png)
直接写出以下算式的结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0be82b0549d78f021041daa0f1e514.png)
(2)小明编的题,由二次根式的乘法可知:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8feae3c7eb3251aa934bcf2c7c8dfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886bd8125990c34ebc78512777870fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a753d86c1dab9126bae9ec032114832.png)
再根据平方根的定义可得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227d391c41def2cfa4c1fb5dd6547c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667d516e6ac7440aca5c36e8ce58ce1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5ed202709fafea896fc2b00e9181e3.png)
直接写出以下算式的结果:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e50c8713a12b2eb8346d1203d4a364.png)
(3)数学老师编的题,根据你的发现,完成以下计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b833641b397e1c9b0ffcef4bb6972b7.png)
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