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Algebra

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what is a perfect square number i know 9, 25 and 100, but what else

if you multiply a perfect square by a perfect square, is the answer always a perfect square

  • Algebra - ,

    Yes, this might be easier to understand if you think of expressing the perfect square as a product of its square roots. Rearrange to see that the product is a perfect square

    if x and y are perfect squares:
    x = a * a
    y = b * b
    x * y = a * a * b * b
    x * y = (a * b) * (a * b)
    let c = a * b
    x * y = c * c

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