Simplify Cube Root of 125

Here we will show you step-by-step how to simplify the cube root of 125. Before we continue, note that the cube root of 125 can be written as follows:


The ∛ symbol is called the radical sign. To simplify the cube root of 125 means to get the simplest radical form of ∛125.

We start by listing the factors of 125 like so:

1, 5, 25, and 125

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

1 and 125

Since 125 is on the list of perfect cubes above, it means that 125 is a perfect cube. 125 is a perfect cube because 5 times 5 times 5 equals 125.

That also means that you can simplify the cube root of 125 without the radical as follows:

125 = 5

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Simplify Cube Root of 126
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* List of Perfect Cubes

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