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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 0.25*(((1-0.025658^(1/3))*(2*(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1) .
    Question type: Mathematical calculation
    Solution:
          0.25*(((1-0.025658^(1/3))*(2*(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*(((1-0.025658^0.333333)*(2*(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*(0.025658^0.666667+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*(0.025658^0.666667+0.025658^0.333333+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*1.381938^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*1.381938^0.5+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*(2*1.381938^0.5+0.025658^0.333333+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*((0.705055*4.646062)^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*(3.275729^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*(3.275729^0.5+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*(3.275729^0.5+(0.025658^0.666667+0.025658^(1/3)+1)^(1/2)+1)
        =0.25*(3.275729^0.5+(0.025658^0.666667+0.025658^0.333333+1)^(1/2)+1)
        =0.25*(3.275729^0.5+1.381938^(1/2)+1)
        =0.25*(3.275729^0.5+1.381938^0.5+1)
        =0.25*3.985456
        =0.996364

    Answer:0.25*(((1-0.025658^(1/3))*(2*(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+0.025658^(1/3)+2))^(1/2)+(0.025658^(2/3)+0.025658^(1/3)+1)^(1/2)+1)=0.996364


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