Simplify Cube Root of 1000

Here we will show you step-by-step how to simplify the cube root of 1000. Before we continue, note that the cube root of 1000 can be written as follows:

∛1000

The ∛ symbol is called the radical sign. To simplify the cube root of 1000 means to get the simplest radical form of ∛1000.

We start by listing the factors of 1000 like so:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000

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

1, 8, 125, and 1000

Since 1000 is on the list of perfect cubes above, it means that 1000 is a perfect cube. 1000 is a perfect cube because 10 times 10 times 10 equals 1000.

That also means that you can simplify the cube root of 1000 without the radical as follows:

∛1000 = 10

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* List of Perfect Cubes