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What is the smallest positive integer n so that 3n squared is a multiple of 4

  • Math -

    n=2

    (3*2)^2=6^2=36

    36=9*4

  • Math -

    if n is even then n^2 is divisible by 4
    so we need the smallest even integer which is 2

    check 3n^2 = 3(2^2) = 12 , which is a multiple of 4

    (I read your expression as 3 n^2
    if you mean (3n)^2, then the answer is still the same )

    the smallest integer n is 2

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