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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation ((874*sqrt(2))^2+(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))) .
    Question type: Mathematical calculation
    Solution:
          ((874*sqrt(2))^2+(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =((874*sqrt2)^2+(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =(1236.023036^2+(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =(1236.023036^2+(2*3500+874*sqrt2-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =(1236.023036^2+(2*3500+874*sqrt2-sqrt14500000)^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =(1236.023036^2+4428.136483^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =6636145.657598/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =6636145.657598/(2*874*sqrt2*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))
        =6636145.657598/(2*874*sqrt2*(2*3500+874*sqrt2-sqrt(3500^2+1500^2)))
        =6636145.657598/(2*874*sqrt2*(2*3500+874*sqrt2-sqrt14500000))
        =6636145.657598/(2*874*sqrt2*4428.136483)
        =6636145.657598/10946557.39908
        =0.606231

    Answer:((874*sqrt(2))^2+(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2))^2-3500^2-1500^2)/(2*874*sqrt(2)*(2*3500+874*sqrt(2)-sqrt(3500^2+1500^2)))=0.606231


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