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Q.

State True/False:
The square root of the number 7744 by the prime factorization method will be 89.

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a

True

b

False 

answer is B.

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Detailed Solution

We have to check if the square root of the number 7744 by the prime factorization method will be 89.
Calculating the square root of 7744 using the prime factorization method.
∵ 7744=2×2×2×2×2×2×11×11 ∴  7744 = 2 2 × 2 2 × 2 2 × 11 2           =2×2×2×11 =88  
Since the square root of the number 7744 by the prime factorization method will be 88. Thus, the given statement is false.
Therefore, option 2 is correct.
 
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