Understanding the Cube Root of -8 | Real and Non-Real Solutions

³√-8

The expression ³√-8 represents the cube root of -8

The expression ³√-8 represents the cube root of -8. To evaluate this expression, we need to find the number that, when raised to the power of 3, gives -8 as the result.

The cube root of -8 can be written as -2, because (-2)³ = -2 x -2 x -2 = -8. However, it is important to note that there is more than one solution to this expression.

In fact, every real number has one real cube root and two non-real cube roots, which are complex numbers. For -8, the real cube root is -2, and the non-real cube roots are 1 + √3i and 1 – √3i, where i is the imaginary unit (√(-1)).

So, the cube root of -8 can be expressed as: -2, 1 + √3i, and 1 – √3i.

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