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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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