Beach Day by Rodger Bliss
May 2024
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Squared and Cubed

Cubed and Squared

Assuming all positive integers, what’s the 2nd smallest number that is both a square and a cube?

Thank you Brent for your squared and cubed submission.

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2 guesses to Squared and Cubed


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  • anant

    I think it is 64

  • Anant you are today’s winner!
    The smallest number that is both a square and a cube is 1 – 1×1=1 & 1x1x1=1 The second number is 64 – 8 x 8 = 64 & 4x4x4 = 64.
    A more general way to find these numbers is: x^3 squared = x^2 cubed. So 1^3 x 1^3 = 1 then 2^3 x 2^3 = 64 next 3^3 x 3^3 = 729 and 4^3 x 4^3 = 4096 5^3 x 5^3 = 15,625 etc.