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24 November, 21:55

Given that 196k is a perfect cube, find the smallest possible value of k

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  1. 24 November, 21:56
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    Factor 196k

    196k=2*2*7*7*k

    we need to get something like x^3

    hmm

    we right now have

    (2*7) ^2

    if we multiply that by (2*7) ^1, we can beg (2*7) ^3,

    therefor k=2*7=14

    tha tnumber is 14

    or

    if k can be any number

    k can be 1/196, to make it 1, and 1 is a perfect cube

    or

    my bro had an epic idea: what if k is negative

    the cube root of a negative number is negative

    so the smallest one would be negative infinity or something

    I think the answer you're looking for is k=14
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