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State True/False:
The square root of the number 5929 by the prime factorization method will be 76.

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True

False

answer is B.

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Detailed Solution

Given a statement as, the square root of the number 5929 by the prime factorization method will be 76.
Expressing 5929 as factors of prime no.:

5929 = 7 × 7 × 11 × 11

Grouping the factors:

5929 = (7 × 7) × (11 × 11)

Now the square root:

∵ 5929 = 7 × 7 × 11 × 11 ∴ 5929 = 72 × 112 = 7 × 11 = 77

Since the square root of the number 5929 by the prime factorization method will be 77, thus, the given statement is false.
Therefore, option 2 is correct.

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