由于平方根、算术平方根等概念很抽象,有些同学对其没有深刻理解,解题时常出现这样或那样的错误.一、忽视平方根存在的条件例1 0,(-6)~2,(13)~(1/2),2019,121中有平方根的是____.错解:因为0~2=0,(±6)~2=(-6)~2,(±11)~2=121,所以0,(-6)~2,121都有平方根,(13)~(1/2)与2 019没有平方根.剖析:任何一个非负数都有平方根,(13)~(1/2)与2019都是正数,只是它们的平方根 Because of the square root, arithmetic square root and other concepts are abstract, some students do not have a deep understanding of it, often have one or the other mistakes in solving the problem. One, ignore the existence of the square root of the cases Example 1 0, (6) ~ 2, (13) ~ (1/2), 2019,121 square root is ____. Misinterpretation: Because 0 ~ 2 = 0, (± 6) ~ 2 = (-6) ~ 2, (± 11) ~ 2 = 121, Therefore, there is a square root between 0 and (-6) ~ 2,121, and no square root between (13) ~ (1/2) and 2 019. Analysis: Any non-negative square root, (13) ~ (1/2) Is a positive number, but their square root