【摘 要】
：
大家知道,形如a c~(1/2)+b d~(1/2)和a c~(1/2)-b d~(1/2)这类互为有理化因式,它们的和、差均较原式简单,而积且为有理数。因而当题目中只出现a c~(1/2)±b d~(1/2)形的无理
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大家知道,形如a c~(1/2)+b d~(1/2)和a c~(1/2)-b d~(1/2)这类互为有理化因式,它们的和、差均较原式简单,而积且为有理数。因而当题目中只出现a c~(1/2)±b d~(1/2)形的无理式时,可考虑构造出它的有理化因式,再施以加减乘除运算,将会简化计算过程,收到化繁为简的效果。现举例如下。
As we all know, the forms such as ac~(1/2)+bd~(1/2) and ac~(1/2)-bd~(1/2) are mutually rationalized and their sums and differences are different. Both are simpler than the original ones and the product is rational. Therefore, when only the irrational form of ac 1/2 b bd 1/2 shape appears in the subject, it can be considered to construct its rationalization factor, and then addition, subtraction, multiplication and division operations will simplify the calculation. In the process, the effect of simplifying and simplifying is received. Examples are as follows.
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