Mathematics
         
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation √(100×(1+(14.65×0.78)^2)÷0.78^2÷(0.04*0.78^2+1)÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1)) .
    Question type: Mathematical calculation
    Solution:
          √(100×(1+(14.65×0.78)^2)÷0.78^2÷(0.04*0.78^2+1)÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1))
        =√(100×(1+11.427^2)÷0.78^2÷(0.04*0.78^2+1)÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1))
        =√(100×131.576329÷0.78^2÷(0.04*0.78^2+1)÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1))
        =√(100×131.576329÷0.78^2÷1.024336÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1))
        =√(100×131.576329÷0.78^2÷1.024336÷1.1521÷((172.39*0.78)^2+1))
        =√(100×131.576329÷0.78^2÷1.024336÷1.1521÷(134.4642^2+1))
        =√(100×131.576329÷0.78^2÷1.024336÷1.1521÷18081.621082)
        =√1.013488
        =1.006721

    Answer:√(100×(1+(14.65×0.78)^2)÷0.78^2÷(0.04*0.78^2+1)÷(0.25*0.78^2+1)÷((172.39*0.78)^2+1))=1.006721


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