Find the cube-roots of 8000.
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Finding prime factors of 8000:
80003=(2×2×2)×(2×2×2)×(5×5×5)3=2×2×5=20\sqrt[3]{8000}\\[1em] = \sqrt[3]{(2 \times 2 \times 2)\times (2 \times 2 \times 2) \times (5 \times 5 \times 5)}\\[1em] = 2 \times 2 \times 5\\[1em] = 2038000=3(2×2×2)×(2×2×2)×(5×5×5)=2×2×5=20
Hence, 80003=20\sqrt[3]{8000} = 2038000=20
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