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116问答网 > 若实数a与b互为相反数，b与c互为倒数，且c+根号2=0，化简|a-1|+根号(a-2)^2. 另再做一题（2题要求有过程）

若实数a与b互为相反数，b与c互为倒数，且c+根号2=0，化简|a-1|+根号(a-2)^2. 另再做一题（2题要求有过程）

已知m满足2m-1/3=3,n满足（2k+1)^2+根号91+7n=0，求3次根号m^2-3n的值。

2025-03-31 00:04:40

推荐回答（1个）

回答1：

c+根号2=0，则c=-=-根号2，
b与c互为倒数，则b=-(根号2)/2
a与b互为相反数,则a=(根号2)/2<1
所以：
|a-1|+根号(a-2)^2=1-a+2-a=3-2a=3-根号2。
2题
2m-1/3=3，则m=5/3
2k+1)^2+根号因为2k+1)^2大于等于0，根号91+7n大于等于0，所以要使两者之和为0，则这两个因式必须同时为0，则有
91+7n=0，n=-13；
3次根号m^2-3n=3次根号(25/9+39）=3次根号（376/9）

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