什么是(sqrt(5+)sqrt(3))/(sqrt(3+)sqrt(3+)sqrt(5)) - (sqrt(5-)sqrt(3))/(sqrt(3+)sqrt (3-)SQRT(5))?
2/7我们采取,A =(sqrt5 + sqrt3)/(sqrt3 + sqrt3 + sqrt5) - (sqrt5-sqrt3)/(sqrt3 + sqrt3-sqrt5)=(sqrt5 + sqrt3)/(2sqrt3 + sqrt5) - (sqrt5 -sqrt3)/(2sqrt3-sqrt5)=(sqrt5 + sqrt3)/(2sqrt3 + sqrt5) - (sqrt5-sqrt3)/(2sqrt3-sqrt5)=((sqrt5 + sqrt3)(2sqrt3-sqrt5) - (sqrt5-sqrt3) )(2sqrt3 + sqrt5))/((2sqrt3 + sqrt5)(2sqrt3-sqrt5)=((2sqrt15-5 + 2 * 3-sqrt15) - (2sqrt15 + 5-2 * 3-sqrt15))/((2sqrt3) ^ 2-(sqrt5)^ 2)=(取消(2sqrt15)-5 + 2 * 3cancel(-sqrt15) - 取消(2sqrt15)-5 + 2 * 3 +取消(sqrt15))/(12-5)=( -10 + 12)/ 7 = 2/7请注意,如果在分母中(sqrt3 + sqrt(3 + sqrt5))和(sqrt3 + sqrt(3-sqrt5))那么答案将会改变。
Sqrt(82/20)属于哪一组数字?
作为一个激进的(根)表达式,它首先属于一组无理数。我们可以看看是否可以从激进的标志下取出:= sqrt((41xxcancel2)/(10xxcancel2))但这就是全部。结论:这是一个无理数,是实数的一个子集。 (“无理性”意味着数字不能写为分数)。
你如何简化(1 / sqrt(a-1)+ sqrt(a + 1))/(1 / sqrt(a + 1)-1 / sqrt(a-1))div sqrt(a + 1)/( (a-1)sqrt(a + 1) - (a + 1)sqrt(a-1)),a> 1?
巨大的数学格式......>颜色(蓝色)(((1 / sqrt(a-1)+ sqrt(a + 1))/(1 / sqrt(a + 1)-1 / sqrt(a-1)) )/(sqrt(a + 1)/((a-1)sqrt(a + 1) - (a + 1)sqrt(a-1)))=颜色(红色)(((1 / sqrt(a-) 1)+ sqrt(a + 1))/((sqrt(a-1)-sqrt(a + 1))/(sqrt(a + 1)cdot sqrt(a-1))))/(sqrt(a) +1)/(sqrt(a-1)cdot sqrt(a-1)cdot sqrt(a + 1)-sqrt(a + 1)cdot sqrt(a + 1)sqrt(a-1)))= color(蓝色)(((1 / sqrt(a-1)+ sqrt(a + 1))/((sqrt(a-1)-sqrt(a + 1))/(sqrt(a + 1)cdot sqrt(a -1))))/(sqrt(a + 1)/(sqrt(a + 1)cdot sqrt(a-1)(sqrt(a-1)-sqrt(a + 1)))=颜色(红色) ((1 / sqrt(a-1)+ sqrt(a + 1))/((sqrt(a-1)-sqrt(a + 1))/(sqrt(a + 1)cdot sqrt(a-1) ))xx(sqrt(a + 1)cdot sqrt(a-1)(sqrt(a-1)-sqrt(a + 1))