Find the square root of 3136 by using the prime factorization method

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answer is B.

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Detailed Solution

Concept: The 3136 is first divided into its prime factors.
Make the similar components in each pair such that they are equal on both sides.
Choose one element from each pair.
By selecting one factor from each pair, we may create a factor product.
The square root of the specified number is the same as that product.
Let's split 3136 into its prime components.

Make pairs;

Selecting one element from each pair:

Product of factors

Thus,

.
Hence, the correct answer is option 2) 56

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