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Mathematics

Find the cube-roots of 8000.

Cube & Cube Roots

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Answer

Finding prime factors of 8000:

Find the cube-roots of 8000. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

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] = 20

Hence, 80003=20\sqrt[3]{8000} = 20

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