Simplify Cube Root of 4004

Here we will show you step-by-step how to simplify the cube root of 4004. Before we continue, note that the cube root of 4004 can be written as follows:

∛4004

The ∛ symbol is called the radical sign. To simplify the cube root of 4004 means to get the simplest radical form of ∛4004.

We start by listing the factors of 4004 like so:

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, and 4004

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 4004 cannot be simplified.

Although we cannot simplify the cube root of 4004, we did enter the cube root of 4004 into our calculator and got the following answer to the cube root of 4004 in decimal form:

∛4004 ≈ 15.8793

You may also be interested to know that you can write the cube root of 4004 with an exponent instead of a radical like this:

∛4004 = 4004^⅓

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* List of Perfect Cubes