find the square root using prime factorization method of 729
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find the square root using prime factorization method of 729
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[tex]729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \\ 729 = 27 \times 27 \\ 729 = {27}^{2} \\ \sqrt{729} = \sqrt{ {27}^{2} } \\ = 27[/tex]
[tex] \sqrt{729}[/tex]
[tex] \sqrt{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
[tex] \sqrt{ {3}^{2} \times {3}^{2} \times {3}^{2} } [/tex]
[tex]3 \times 3 \times 3[/tex]
[tex]27[/tex]