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    Question

    What is the smallest natural number that must be

    multiplied with 45 to make the result a perfect square?
    A 5 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    ATQ, 45 = 3┬▓ ├Ч 5┬╣ For a perfect square, all prime exponents must be even. Exponent of 5 is 1 (odd), so multiply by 5 to make it 5┬▓. Smallest such number = 5.

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