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Can you fine the cube root of a negative number? If so, is it positive or negative? Explain your answer.

User MsNichols
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25 votes

Answer:

Yes, you can find the cube root of a negative number. The answer will be negative!

Explanation:

Example: Find the cube root of -27

We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)

For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27

But if we are using a negative number: It is really different because we got to know the rules.

The setup: -3 x -3 x -3 = -27

If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:

9 x -3 = -27

The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"

User Fazlin
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