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Q.

Solve using method of prime factorization:


729 = [[1]].


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Detailed Solution

Using method of prime factorization, 729 =27.
The given number is 729.
The prime factorization for 729 is
Question ImageThe prime factorization of 729 is,
729=3×3×3×3×3×3.
Making pair the prime factors, we get,
729= 3×3 ¯ × 3×3 ¯ × 3×3 ¯
Now, taking the product of prime factors, choosing one factor out of every pair, we get,
729 =3×3×3=27.
Thus, the square root of 729 is 27.
 
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