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Q.


The square root of the number 729 by the prime factorization method will be 27.


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a

True

b

False  

answer is A.

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Detailed Solution


Given a statement, the square root of the number 729 by the prime factorization method will be 27.
Expressing 729 as factors of prime no.:
729=3×3×3×3×3×3  
Grouping the factors:
729=(3×3)×(3×3)×(3×3)  
Now the square root:
     ∵729=3×3×3×3×3×3 ∴ 729 = 3 2 × 3 2 × 3 2 =3×3×3 =27  
Hence, the given statement is true.
Therefore, option 1 is correct.
 
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The square root of the number 729 by the prime factorization method will be 27.