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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*(((1-0.341886^(1/3))*(2*(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1) .
    Question type: Mathematical calculation
    Solution:
          0.25*(((1-0.341886^(1/3))*(2*(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*(((1-0.341886^0.333333)*(2*(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*(0.341886^0.666667+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*(0.341886^0.666667+0.341886^0.333333+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*2.18818^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*2.18818^0.5+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*(2*2.18818^0.5+0.341886^0.333333+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*((0.300758*5.657742)^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*(1.701611^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*(1.701611^0.5+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*(1.701611^0.5+(0.341886^0.666667+0.341886^(1/3)+1)^(1/2)+1)
        =0.25*(1.701611^0.5+(0.341886^0.666667+0.341886^0.333333+1)^(1/2)+1)
        =0.25*(1.701611^0.5+2.18818^(1/2)+1)
        =0.25*(1.701611^0.5+2.18818^0.5+1)
        =0.25*3.783708
        =0.945927

    Answer:0.25*(((1-0.341886^(1/3))*(2*(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+0.341886^(1/3)+2))^(1/2)+(0.341886^(2/3)+0.341886^(1/3)+1)^(1/2)+1)=0.945927


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