对于二次根式的运算,学习要求是能理解运算的算理,依据二次根式的性质、运算法则和运算律寻求合理的运算途径,从而正确地进行计算.理解算理、探寻算法,是提升计算能力的捷径.一、巧用乘法公式计算例1计算:(99~2-49~2-50~2)~(1/2)=____.分析:解此题的关键是选择适当的方法进行计算.根据平方差公式可得992-492=(99+49)×(99-49)=148×50,然后提公因数 For the quadratic root operation, the learning requirement is to understand the arithmetic of the operation, and to find the proper calculation way according to the nature of the quadratic root, the algorithm and the operation law, so as to calculate correctly. First, the use of multiplication formula calculation example 1: (99 ~ 2-49 ~ 2-50 ~ 2) ~ (1/2) = ____ Analysis: The key to solving this problem is to select the appropriate method Calculated according to the formula of the square error can be 992-492 = (99 + 49) × (99-49) = 148 × 50, and then the public factor