For the next number, find the smallest integer to multiply to get the perfect square. Also, the square root of the square number 2028 obtained in this way is:

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answer is A.

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Detailed Solution

Concept: To solve such a question, we have to prepare a number. Once a prime factor is generated, it's a square root, so you need to pair it to find one that doesn't have a pair in the number.
To figure out what you need to multiply by 2028 to get a perfect square, you need to figure out the factor of

Therefore, the factors for

are:

The prime factor 3 is not pairwise, so you need to multiply it by 3 to get a perfect square.

Hence, option 1 is correct.

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