8th Class Mathematics Sample Paper Mathematics Sample Paper - 3

  • question_answer Using prime factorisation, find the cube root of 5832.

    Answer:

    The prime factorisation of 5832 is                    

    2 5832
    2 2916
    2 1458
    3 729
    3 243
    3 81
    3 27
    3 9
    3 3
    1
    \[5832\text{ }=2\times 2\times 2\times 3\times 3\times 3\times 3\times 3\times 3\] Therefore,         \[\sqrt[3]{5832}=\sqrt[3]{2\times 2\times 2\times 3\times 3\times 3\times 3\times 3\times 3}\] \[=2\times 3\times 3\] =18       


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