化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____结果中分母不含根式
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![化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____结果中分母不含根式](/uploads/image/z/2832165-45-5.jpg?t=%E5%8C%96%E7%AE%80%E5%B9%B6%E8%AE%A1%E7%AE%971%2F%E2%88%9AX%28X%2B1%29%2B1%2F%EF%BC%88%E2%88%9AX%2B1%EF%BC%89%EF%BC%88%E2%88%9AX%2B2%EF%BC%89%E4%B9%98%E4%BB%A51%2F%EF%BC%88%E2%88%9AX%2B2%EF%BC%89%EF%BC%88%E2%88%9AX%2B3%EF%BC%89%2B%E2%80%A6%E2%80%A6%2B+1%2F%EF%BC%88%E2%88%9AX%2B19%EF%BC%89%EF%BC%88%E2%88%9AX%2B20%EF%BC%89%3D____%E7%BB%93%E6%9E%9C%E4%B8%AD%E5%88%86%E6%AF%8D%E4%B8%8D%E5%90%AB%E6%A0%B9%E5%BC%8F)
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化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____结果中分母不含根式
化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____
结果中分母不含根式
化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____结果中分母不含根式
=1/√x-1/(√x+1)+1/(√x+1)-1/(√x+2)+1/(√x+2)-……-1/(√x+19)+1/(√x+19)-1/(√x+20)
=1/√x-1/(√x+20)
=√x/x-(√x-20)/x-400
=(x√x-400√x-x√x+20x)/x(x-400)
=(20x-400√x)/x(x-400)
=(20x-400√x)/x(x-400)
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化简并计算1/√X(X+1)+1/(√X+1)(√X+2)乘以1/(√X+2)(√X+3)+……+ 1/(√X+19)(√X+20)=____结果中分母不含根式
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