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Q.

State True/False:
The square root of the number 8100 by the prime factorization method will be 92.


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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 8100 by the prime factorization method will be 92.
Expressing 8100 as factors of prime no.:
8100=2×2×3×3×3×3×5×5  
Grouping the factors:
8100=(2×2)×(3×3)×(3×3)×(5×5)  
Now the square root:
∵8100=2×2×3×3×3×3×5×5 ∴  8100 = 2 2 × 3 2 × 3 2 × 5 2          =2×3×3×5   =90  
Since the square root of the number 8100 by the prime factorization method will be 90, thus, the given statement is false.
Therefore, option 2 is correct.
 
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