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Q.

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


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a

True

b

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 = 7 2 × 11 2 =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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