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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 sqrt((sqrt(8*sqrt(5)-sqrt(72/(5*sqrt(5)))))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2) .
    Question type: Mathematical calculation
    Solution:
          sqrt((sqrt(8*sqrt(5)-sqrt(72/(5*sqrt(5)))))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt((sqrt(8*sqrt5-sqrt(72/(5*sqrt(5)))))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt((sqrt(8*sqrt5-sqrt(72/(5*sqrt5))))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt((sqrt(8*sqrt5-sqrt(72/11.18034)))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt((sqrt(8*sqrt5-sqrt6.439876))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt((sqrt15.350853)^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt(3.918016^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt(3.918016^2+(4/(sqrt(8*sqrt5))-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt(3.918016^2+(4/(sqrt17.888544)-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt(3.918016^2+(4/4.229485-4/(sqrt(72/(5*sqrt(5)))))^2)
        =sqrt(3.918016^2+(4/4.229485-4/(sqrt(72/(5*sqrt5))))^2)
        =sqrt(3.918016^2+(4/4.229485-4/(sqrt(72/11.18034)))^2)
        =sqrt(3.918016^2+(4/4.229485-4/(sqrt6.439876))^2)
        =sqrt(3.918016^2+(4/4.229485-4/2.537691)^2)
        =sqrt(3.918016^2+(-0.630494)^2)
        =sqrt15.748372
        =3.968422

    Answer:sqrt((sqrt(8*sqrt(5)-sqrt(72/(5*sqrt(5)))))^2+(4/(sqrt(8*sqrt(5)))-4/(sqrt(72/(5*sqrt(5)))))^2)=3.968422


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