How many real cube roots does 0.000 001 have?
Question
How many real cube roots does 0.000 001 have?
Solution
0.000 001 has three real cube roots. Here's why:
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The cube root of a number is the value that when cubed (multiplied by itself twice) gives the original number.
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Every real number has exactly one real cube root. However, every non-zero real number also has two additional complex cube roots.
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Since 0.000 001 is a real number, it has one real cube root.
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But because 0.000 001 is not zero, it also has two additional complex cube roots.
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Therefore, 0.000 001 has a total of three cube roots, one of which is real and two of which are complex.
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