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doueyuan LV
发表于 10-2-2010 08:57:49
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648=2x2x2x3x3x3x3,so m=2,648m is a perfect square. n=3x3=9, 648n is a perfect cube.
14x12600=2x7x2x2x2x3x3x5x5x7, so )√14×12600=2x2x3x5x7
(2)√7×12600/2=√2x2x3x3x5x5x7x7=2x3x5x7
(3)3√15×12600/7=3√2x2x2x3x3x3x5x5x5=2x3x5
结果可以写成指数形式,因为工具不全,以乘法形式代替.这些题目,关键理解定义"perfect cube'perfect square',表现出来就是它们的质因数分解式里每个质因数的个数分别是3的倍数或者2的倍数,开方之后也是分别指数除以3或2.如果还不明白,可以电话 |
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