Simplify Cube Root of 1728

Here we will show you step-by-step how to simplify the cube root of 1728. Before we continue, note that the cube root of 1728 can be written as follows:

∛1728

The ∛ symbol is called the radical sign. To simplify the cube root of 1728 means to get the simplest radical form of ∛1728.

We start by listing the factors of 1728 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864, and 1728

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

1, 8, 27, 64, 216, and 1728

Since 1728 is on the list of perfect cubes above, it means that 1728 is a perfect cube. 1728 is a perfect cube because 12 times 12 times 12 equals 1728.

That also means that you can simplify the cube root of 1728 without the radical as follows:

∛1728 = 12

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* List of Perfect Cubes