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What is the cube root of $-64$ ? $\newline$ ____

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Cube roots of positive and negative perfect cubes

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Q. What is the cube root of

-64

?

\newline

____

Concept of Cube Root: Understand the concept of a cube root. $\newline$ The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For the cube root of $-64$ , we are looking for a number that when cubed gives $-64$ .
Determine Cube Root of $-64$ : Determine the cube root of $-64$ . Since $64$ is $4$ cubed ( $4 \times 4 \times 4 = 64$ ), and we are looking for the cube root of $-64$ , we need to consider the negative aspect. The cube root of a negative number is negative, so the cube root of $-64$ is $-4$ because $(-4) \times (-4) \times (-4) = -64$ .

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