Calculating the Cube Root of -64 | Understanding the Concept and Finding the Solution

³√-64

The expression ³√-64 represents the cube root of -64

The expression ³√-64 represents the cube root of -64.

The cube root of a number is a value that, when raised to the power of 3, gives the original number. In this case, we are looking for the number that, when cubed, gives -64.

We can rewrite -64 as -4 x 4 x 4.

Since -4 is a negative number, the cube root of -64 is also a negative number.

Now, let’s calculate the cube root of 4. The cube root of 4 is ∛4 ≈ 1.5874.

So, the cube root of -64 is -∛4 ≈ -1.5874.

Therefore, ³√-64 is approximately equal to -1.5874.

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