cube root of 729 in prime factorizatio
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Given that
![\sqrt[3]{729}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B729%7D+ "\sqrt[3]{729}")
Now by prime factorization
Let take 729 and do LCM
Then
729 = 3 x 3 x 3 x 3 x 3 x 3
![\sqrt[3]{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times3}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B3+%5Ctimes+3+%5Ctimes+3+%5Ctimes+3+%5Ctimes+3+%5Ctimes+3+%5Ctimes3%7D+ "\sqrt[3]{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times3}")
Then it will be
3 x 3 = 9.
Now by prime factorization
Let take 729 and do LCM
Then
729 = 3 x 3 x 3 x 3 x 3 x 3
Then it will be
3 x 3 = 9.
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