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Mathematics

Find the cube-root of 729.

Cube & Cube Roots

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Answer

Finding prime factors of 729:

Find the cube-root of 729. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

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] = 9

Hence, 7293=9\sqrt[3]{729} = 9

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