Simplify Cube Root of 8000

Here we will show you step-by-step how to simplify the cube root of 8000. Before we continue, note that the cube root of 8000 can be written as follows:

∛8000

The ∛ symbol is called the radical sign. To simplify the cube root of 8000 means to get the simplest radical form of ∛8000.

We start by listing the factors of 8000 like so:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, and 8000

Next, we identify the perfect cubes* from the list of factors above:

1, 8, 64, 125, 1000, and 8000

Since 8000 is on the list of perfect cubes above, it means that 8000 is a perfect cube. 8000 is a perfect cube because 20 times 20 times 20 equals 8000.

That also means that you can simplify the cube root of 8000 without the radical as follows:

∛8000 = 20

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Simplify Cube Root of 8001
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* List of Perfect Cubes