The square root of the number 729 by the prime factorization method will be 27.

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The square root of the number 729 by the prime factorization method will be 27.

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answer is A.

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Detailed Solution

Given a statement, the square root of the number 729 by the prime factorization method will be 27.
Expressing 729 as factors of prime no.:

729 = 3 × 3 × 3 × 3 × 3 × 3

Grouping the factors:

729 = (3 × 3) × (3 × 3) × (3 × 3)

Now the square root:

∵ 729 = 3 × 3 × 3 × 3 × 3 × 3 ∴ 729 = 32 × 32 × 32 = 3 × 3 × 3 = 27

Hence, the given statement is true.
Therefore, option 1 is correct.

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