Cube root of - 0.001331 is

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0.111

0.11

0.011

0.0111

answer is B.

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Detailed Solution

Cube Root of −0.001331

The cube root of −0.001331 is approximately 0.055 + 0.0953i, which is a complex number.

Calculation Details

Cube roots of negative numbers can yield complex values unless the context specifically implies a real-only solution.
The principal calculated result for (−0.001331)^1/3 gives the complex number approximately 0.055 + 0.0953i.

Explanation

For any real negative number x, the real cube root is negative. However, when using standard mathematical computation tools, the principal root is often given, which may be complex.
Mathematically, the real cube root of −a is defined as −∛a.
Therefore, if considering only the real cube root (as is common in many school textbook conventions), the answer is −0.11, since 0.001331 = (0.11)³.

If you are looking for the real solution only, the answer is approximately −0.11.

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