Simplify Cube Root of 512

Here we will show you step-by-step how to simplify the cube root of 512. Before we continue, note that the cube root of 512 can be written as follows:

∛512

The ∛ symbol is called the radical sign. To simplify the cube root of 512 means to get the simplest radical form of ∛512.

We start by listing the factors of 512 like so:

1, 2, 4, 8, 16, 32, 64, 128, 256, and 512

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

1, 8, 64, and 512

Since 512 is on the list of perfect cubes above, it means that 512 is a perfect cube. 512 is a perfect cube because 8 times 8 times 8 equals 512.

That also means that you can simplify the cube root of 512 without the radical as follows:

∛512 = 8

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Simplify Cube Root of 513
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* List of Perfect Cubes