Find the cube-roots of -5832
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Prime factors of 5832:
−58323=−(2×2×2)×(3×3×3)×(3×3×3)3=−(2×3×3)=−18\sqrt[3]{-5832}\\[1em] = -\sqrt[3]{(2 \times 2 \times 2) \times (3 \times 3 \times 3) \times (3 \times 3 \times 3)}\\[1em] = -(2 \times 3 \times 3)\\[1em] = - 183−5832=−3(2×2×2)×(3×3×3)×(3×3×3)=−(2×3×3)=−18
Hence, −58323=−18\sqrt[3]{-5832} = -183−5832=−18
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