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Mathematics

Find the cube-roots of -216.

Cube & Cube Roots

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Answer

Prime factors of 216:

Find the cube-roots of 125/216. Cubes and Cube Roots, Concise Mathematics Solutions ICSE Class 8.

2163=(2×2×2)×(3×3×3)3=(2×3)=6\sqrt[3]{-216}\\[1em] = -\sqrt[3]{(2 \times 2 \times 2) \times (3 \times 3 \times 3)}\\[1em] = -(2 \times 3)\\[1em] = -6

Hence, 2163=6\sqrt[3]{-216} = -6

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