Simplify Cube Root of 216

Here we will show you step-by-step how to simplify the cube root of 216. Before we continue, note that the cube root of 216 can be written as follows:

∛216

The ∛ symbol is called the radical sign. To simplify the cube root of 216 means to get the simplest radical form of ∛216.

We start by listing the factors of 216 like so:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216

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

1, 8, 27, and 216

Since 216 is on the list of perfect cubes above, it means that 216 is a perfect cube. 216 is a perfect cube because 6 times 6 times 6 equals 216.

That also means that you can simplify the cube root of 216 without the radical as follows:

∛216 = 6

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* List of Perfect Cubes