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What is the cube root of 5307? What is the cube root of 2448?

Mathematics

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Answer

29\text{29}

18\text{18}

Step-by-step solution

2 steps
  1. Perform long division for the first problem, 5307÷1835307 \div 183.

    29183)5307‾−366↓1647−16470\begin{array}{r} 29 \\ 183 \overline{) 5307} \\ -366 \downarrow \\ \hline 1647 \\ -1647 \\ \hline 0 \end{array}

    First, divide 530 by 183. 183×2=366183 \times 2 = 366.
    Subtract 366 from 530 to get 164.
    Bring down the next digit, 7, to make 1647.
    Next, divide 1647 by 183. 183×9=1647183 \times 9 = 1647.
    Subtract 1647 from 1647 to get 0.

    The result of the first division is 29\boxed{\text{29}}.

  2. Perform long division for the second problem, 2448÷1362448 \div 136.

    18136)2448‾−136↓1088−10880\begin{array}{r} 18 \\ 136 \overline{) 2448} \\ -136 \downarrow \\ \hline 1088 \\ -1088 \\ \hline 0 \end{array}

    First, divide 244 by 136. 136×1=136136 \times 1 = 136.
    Subtract 136 from 244 to get 108.
    Bring down the next digit, 8, to make 1088.
    Next, divide 1088 by 136. 136×8=1088136 \times 8 = 1088.
    Subtract 1088 from 1088 to get 0.

    The result of the second division is 18\boxed{\text{18}}.

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