作业帮 > 数学 > 作业

计算:①根号5+2倍根号2-(根号5-根号2)②|1-根号2|+|1+根号2|③|根号3-根号5|+3(根号3-根号5)

来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/05 20:28:15
计算:①根号5+2倍根号2-(根号5-根号2)②|1-根号2|+|1+根号2|③|根号3-根号5|+3(根号3-根号5)
④3(根号2+根号3)+3(根号2-2倍根号3)
计算:①根号5+2倍根号2-(根号5-根号2)②|1-根号2|+|1+根号2|③|根号3-根号5|+3(根号3-根号5)
①根号5+2倍根号2-(根号5-根号2)
=3倍根号2
②|1-根号2|+|1+根号2|
=2倍根号2
③|根号3-根号5|+3(根号3-根号5)
=2根号3
④3(根号2+根号3)+3(根号2-2倍根号3)
=6倍根号2-3倍根号3
再问: 能把过程写清楚些吗??
再答: ①根号5+2倍根号2-(根号5-根号2) =根号5+2倍根号2-根号5+根号2 =3倍根号2 ②|1-根号2|+|1+根号2| =-1+根号2+1+根号2 =2倍根号2 ③|根号3-根号5|+3(根号3-根号5) =-根号3+根号5+3根号3-3根号5 =2根号3-2根号5 =2(根号3-根号5) ④3(根号2+根号3)+3(根号2-2倍根号3) =3根号2+3根号3+3根号2-6倍根号3 =6倍根号2-3倍根号3