根式运算在数学教学中占有一定的地位,根式的算术根则是运算中的关键问题。如果根式运算中忽略了算术根以及定义域和值域,常会导致严重的错误。教学中除了把算术根的概念讲解清楚以外,还应把与算术根有关的问题加以阐明,以杜绝或减少错误的发生。 一、关于算术根的概念 初中代数中的定义:“正数的正的方根,叫算术根”。由于零的任何次方根都是零,所以把 Root-type computing occupies a certain position in mathematics teaching, and the root-type arithmetic root is the key problem in computing. If you omit the arithmetic root and the domain and value range in the root operation, you can often cause serious errors. In addition to clarifying the concept of an arithmetic root, teaching should also clarify the problems related to the arithmetic root to prevent or reduce the occurrence of mistakes. First, on the concept of the arithmetic root Definition of junior high school algebra: “The positive square root of the positive number, called the arithmetic root.” Since any root of zero is zero, put