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How many real cube roots does 0.000 001 have?

Question

How many real cube roots does 0.000 001 have?

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Solution

0.000 001 has three real cube roots. Here's why:

  1. The cube root of a number is the value that when cubed (multiplied by itself twice) gives the original number.

  2. Every real number has exactly one real cube root. However, every non-zero real number also has two additional complex cube roots.

  3. Since 0.000 001 is a real number, it has one real cube root.

  4. But because 0.000 001 is not zero, it also has two additional complex cube roots.

  5. Therefore, 0.000 001 has a total of three cube roots, one of which is real and two of which are complex.

This problem has been solved

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