Find the smallest number by which 1100 must be multiplied so that the product become a perfect square also find the square root of the per

Question

Find the smallest number by which 1100 must be multiplied so that the product become a perfect square also find the square root of the perfect square obtained

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Skylar 1 month 2021-08-17T16:54:54+00:00 2 Answers 0 views 0

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    0
    2021-08-17T16:56:25+00:00

    Answer:

    there fore it should be multiplied by 11 to make a perfect square

    And the square is 12100

    square root of 12100 is 110

    Step-by-step explanation:

    hope it helps

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    0
    2021-08-17T16:56:30+00:00

    Answer:

    Prime factorization of 1100:

    1100 = 2 x 550

           = 2 x 2 x 275

           = 2 x 2 x 5 x 55

           = 2 x 2 x 5 x 5 x 11

    It can be written as 1100 = 2² x 5² x 11

    In order to make it a perfect square, 1100 should be multiplied by 11

    1100×11 = 2² x 5² x 11 x 11 = 2² x 5² x 11² = 12100.

    So the perfect square obtained by multiplying 1100 by 11 is 12100.

    The square root of obtained perfect square = √12100 = 110

    Step-by-step explanation:

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