Simplify Cube Root of 2004

Here we will show you step-by-step how to simplify the cube root of 2004. Before we continue, note that the cube root of 2004 can be written as follows:

∛2004

The ∛ symbol is called the radical sign. To simplify the cube root of 2004 means to get the simplest radical form of ∛2004.

We start by listing the factors of 2004 like so:

1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, and 2004

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

1

Since 1 is the only perfect cube above, the cube root of 2004 cannot be simplified.

Although we cannot simplify the cube root of 2004, we did enter the cube root of 2004 into our calculator and got the following answer to the cube root of 2004 in decimal form:

∛2004 ≈ 12.6076

You may also be interested to know that you can write the cube root of 2004 with an exponent instead of a radical like this:

∛2004 = 2004^⅓

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Simplify Cube Root of 2005
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* List of Perfect Cubes