Find the cube-root of 729.
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Finding prime factors of 729:
7293=(3×3×3)×(3×3×3)3=3×3=9\sqrt[3]{729}\\[1em] = \sqrt[3]{(3 \times 3 \times 3)\times(3 \times 3 \times 3)}\\[1em] = 3\times3\\[1em] = 93729=3(3×3×3)×(3×3×3)=3×3=9
Hence, 7293=9\sqrt[3]{729} = 93729=9
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