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Q.

State True/False:
The square root of the number 1764 by the prime factorization method will be 42.


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a

True

b

False 

answer is A.

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Detailed Solution

Given a statement as, the square root of the number 1764 by the prime factorization method will be 42.
Expressing 1764 as factors of prime no.:
1764=2×2×3×3×7×7  
Grouping the factors :
∵ 1764=2×2×3×3×7×7 ∴  1764 = 2 2 × 3 2 × 7 2          =2×3×7    =42      
Now the square root:
1764=(2×2)×(3×3)×(7×7)  
Hence, the given statement is true.
Therefore, option 1 is correct.
 
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State True/False:The square root of the number 1764 by the prime factorization method will be 42.