Find the cube-root of 1728.
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Finding prime factors of 1728:
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] = 1231728=3(2×2×2)×(2×2×2)×(3×3×3)=2×2×3=12
Hence, 17283=12\sqrt[3]{1728} = 1231728=12
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