Find the smallest number by which 1100 must be multiplied so that the product
becomes a perfect square. Also, find the square

By Anna

Find the smallest number by which 1100 must be multiplied so that the product
becomes a perfect square. Also, find the square root of the perfect square so
obtained.

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Anna

1 thought on “Find the smallest number by which 1100 must be multiplied so that the product<br />becomes a perfect square. Also, find the square”

  1. Answer:

    By prime factorization method

    1100 = 2x2x5x5x11

    To be a perfect square, its prime factor should be in pairs.

    Hence the smallest number is 11, which we should multiply to get perfect square .

    Square root of this perfect square number = 2x5x11 = 110

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