Simplify Cube Root of 64

Here we will show you step-by-step how to simplify the cube root of 64. Before we continue, note that the cube root of 64 can be written as follows:

∛64

The ∛ symbol is called the radical sign. To simplify the cube root of 64 means to get the simplest radical form of ∛64.

We start by listing the factors of 64 like so:

1, 2, 4, 8, 16, 32, and 64

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

1, 8, and 64

Since 64 is on the list of perfect cubes above, it means that 64 is a perfect cube. 64 is a perfect cube because 4 times 4 times 4 equals 64.

That also means that you can simplify the cube root of 64 without the radical as follows:

∛64 = 4

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Simplify Cube Root of 65
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* List of Perfect Cubes