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    Question

    What is the smallest natural number that must be multiplied

    to 750 so that the resultant number is a perfect square?
    A 15 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer

    Solution

    750 = 2 X 3 X 5 X 5 X 5

    For a perfect square, each factor of the number must be in a pair.

    For making pairs of 2, 3 and 5, we need one each of 2, 3 and 5.

    So, required smallest number = 2 X 3 X 5 = 30

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