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math

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N and P are integers greater than 1
5N is the square of a number
75NP is the cube of a number
the smallest value for N+P IS what?
i cant figure it out, please help
thank you so much

  • math - ,

    5N is a square: squares: 4,9,16,25,36,49,64,81,100,...
    Now which of those are divisible by five?

    now look at cubes. 8,27,64,125,256,...15^3
    which of those are divisible by 75?

    so if N is 5, and 75*5*P=15^3
    then P is 9

  • math - ,

    thank you so much

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