What is the square root of 2116?

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answer is A.

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Detailed Solution

It is required to find the square root of 2116.
Now, using prime factorization, express 2116 as the product of two prime factors, and create similar factor pairs where the two factors in each pair are equal.

⇒ 2 × 2 × 23 × 23 = 22 × 232

⇒ 2116 = 22 × 232 ⇒ 2 × 23 ⇒ 46

Hence, 46 is the square root of the number 2116.
Therefore, option 1 is correct.

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