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27 November, 11:18

By which least number should 12500 10be multiplied to make them perfect squares

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  1. 27 November, 14:34
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    5

    The least number 12500 need to be multiplied by to make it a perfect square is 5.

    Corrected question;

    By which least number should 12500 be multiplied to make them perfect squares

    Step-by-step explanation:

    Perfect squares are squares of whole numbers.

    Like 4,9,16 etc.

    For 12500, we need to first of all reduce it to its Lowest factors.

    12500 = 2*2*5*5*5*5*5

    Grouping the factors into pairs of thesame factors.

    12500 = (2*2) * (5*5) * (5*5) * 5

    Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.

    So, when the number is multiplied by 5;

    12500 * 5 = (2*2) * (5*5) * (5*5) * (5*5)

    62500 = (2*2) * (5*5) * (5*5) * (5*5)

    62500 = (2*5*5*5) ^2 = 250^2

    Hence, 62500 is a perfect square.

    The least number 12500 need to be multiplied by to make it a perfect square is 5.
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