Mathematics
         
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 180×sqrt(9÷1.67×1.67+1)÷3÷sqrt(99.4×99.4×9+1)÷sqrt(1.25)÷sqrt(0.0084×0.0084×9+1) .
    Question type: Mathematical calculation
    Solution:
          180×sqrt(9÷1.67×1.67+1)÷3÷sqrt(99.4×99.4×9+1)÷sqrt(1.25)÷sqrt(0.0084×0.0084×9+1)
        =180×sqrt10.000001÷3÷sqrt(99.4×99.4×9+1)÷sqrt(1.25)÷sqrt(0.0084×0.0084×9+1)
        =180×sqrt10.000001÷3÷sqrt88924.24÷sqrt(1.25)÷sqrt(0.0084×0.0084×9+1)
        =180×sqrt10.000001÷3÷sqrt88924.24÷sqrt1.25÷sqrt(0.0084×0.0084×9+1)
        =180×sqrt10.000001÷3÷sqrt88924.24÷sqrt1.25÷sqrt1.000639
        =180×3.162278÷3÷sqrt88924.24÷sqrt1.25÷sqrt1.000639
        =180×3.162278÷3÷298.201677÷sqrt1.25÷sqrt1.000639
        =180×3.162278÷3÷298.201677÷1.118034÷sqrt1.000639
        =180×3.162278÷3÷298.201677÷1.118034÷1.000319
        =569.21004÷3÷298.201677÷1.118034÷1.000319
        =189.73668÷298.201677÷1.118034÷1.000319
        =0.63627÷1.118034÷1.000319
        =0.569097÷1.000319
        =0.568916

    Answer:180×sqrt(9÷1.67×1.67+1)÷3÷sqrt(99.4×99.4×9+1)÷sqrt(1.25)÷sqrt(0.0084×0.0084×9+1)=0.568916


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