二次根式的化简,技巧性较强,所以有些同学在二次根式化简时,总出现这样或那样的问题.下面谈谈乘法公式与分解因式在二次根式化简中的应用.一、复合二次根式((x±2)y~(1/2))~1/2的化简化简((x±2)y~(1/2))~1/2的关键是将(x±2)y~(1/2)表示成(a~(1/2)±b~(1/2))~2的形式.具体作法是将y分解成两个正数a、b之积且使a+b=x,则 The simplification of secondary roots is very skillful, so some classmates always appear one or more problems when they are in the secondary root simplification. The multiplication formulas and factorization factors in quadratic radical simplification are discussed below. First, the key to compounding the secondary root equation ((x±2)y~(1/2))~1/2 is to simplify the simplified ((x±2)y~(1/2))~1/2 (x±2)y~(1/2) is expressed as (a~(1/2)±b~(1/2))~2. The concrete method is to decompose y into two positive numbers a and b. The product is such that a+b=x.