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Question

Find the square root of 729 by prime factorisation method


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Solution

Solve for the square root of given number:

Given number is 729

By using the Prime factorization method, we get,

729=3×243=3×3×81=3×3×3×27=3×3×3×3×9=3×3×3×3×3×3

729=3×3×3×3×3×3=36

Applying square root on both sides,

729=3×3×3×3×3×3

=3×3×3

=27

729=27

Hence, the square root of 729 by using the prime factorization method is 27.


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