同学们在学习二次根式乘法时,由于对基本概念掌握不牢,对法则理解不透,往往产生误解,本文举例进行分析,以帮助大家避免发生类似的错误,增强解题的准确性.例1化简:((1-x)(x-2)~2)~(2/1)错解:原式=(1-x)~(2/1)·((x-2)~2)~(2/1)=(x-2)(1-x)~(2/1)分析:因已知根式有意义,所以(1-x)(x-2)~2≥0,而(x-2)~2≥0,故有1-x≥0,即z≤1,x-2 When students learn secondary root multiplication, due to the lack of understanding of the basic concepts, they do not understand the rules, and often misunderstood. This paper gives examples for analysis to help people avoid similar mistakes and increase the accuracy of problem solving. 1 Simplification: ((1-x)(x-2)~2)~(2/1) Misconceptions: Original = (1-x)~(2/1)((x-2)~2 )~(2/1)=(x-2)(1-x)~(2/1) Analysis: Since the known root formula is meaningful, (1-x)(x-2)~2≥0, and (x-2) ~ 2 ≥ 0, so there is 1-x ≥ 0, that is z ≤ 1, x-2