内容正文:
3.3二次根式的运算与化简
一.基础知识巩固
1._________________________________________________叫二次根式.
2.满足下列两个条件的二次根式叫最简二次根式:
⑴________________________________;⑵_________________________________.
3.将二次根式化为最简二次根式步骤:
⑴______________________________________________________________;
⑵______________________________________________________________.
4._________________________________________________________叫同类二次根式.
5.二次根式的性质
⑴(=________________.
)2=__________;
⑵
6.二次根式的加减法_______________________________________________________.
7.二次根式的乘除法、乘方运算.
⑴)n=____________.=_____________;
⑶(=______________;
⑵·
8._____________________________________________________________叫分母有理化.分母有理化的方法是________________________________________.
9._________________________________________________________叫互为有理化因式.
10.二次根式的混合运算_____________________________________________________.
11.化简的方法:____________________________________________________.
二.检测提高
1.化简⑴(x≥0,x≥0).
(a≥0,b≥0);
⑵
2.计算⑴)(x>y≥0)-)÷