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Mathematics

Find the cube-root of 1728.

Cube & Cube Roots

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Answer

Finding prime factors of 1728:

Find the cube-root of 1728. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

17283=(2×2×2)×(2×2×2)×(3×3×3)3=2×2×3=12\sqrt[3]{1728}\\[1em] = \sqrt[3]{(2 \times 2 \times 2)\times (2 \times 2 \times 2)\times (3 \times 3 \times 3)}\\[1em] = 2 \times 2 \times 3\\[1em] = 12

Hence, 17283=12\sqrt[3]{1728} = 12

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