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           ☆算术计算1题

〖1/1算式〗
    作业:求算式 (250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1)) 的值.
    题型:数学计算
    解:
          (250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =(250×√(32.69^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =(250×√1069.6361×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =(250×√1069.6361×√(9.243167^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =(250×√1069.6361×√86.436136)÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =76016.125269÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))

        =76016.125269÷(98.07×√97.177249×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =76016.125269÷(98.07×√97.177249×√1.961772×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))
        =76016.125269÷(98.07×√97.177249×√1.961772×√(261.52^2+1)×√((98.07÷84.85)^2+1))
        =76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√((98.07÷84.85)^2+1))
        =76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√(1.155804^2+1))
        =76016.125269÷(98.07×√97.177249×√1.961772×√68393.7104×√2.335883)
        =76016.125269÷541223.404816
        =0.140452

    答案:(250×√((98.07÷3)^2+1)×√((98.07÷10.61)^2+1))÷(98.07×√(9.807^2+1)×√(0.9807^2+1)×√((98.07÷0.375)^2+1)×√((98.07÷84.85)^2+1))=0.140452




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