Find the cube-roots of -216.
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Prime factors of 216:
−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] = -63−216=−3(2×2×2)×(3×3×3)=−(2×3)=−6
Hence, −2163=−6\sqrt[3]{-216} = -63−216=−6
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