Simplify Cube Root of 1004

Here we will show you step-by-step how to simplify the cube root of 1004. Before we continue, note that the cube root of 1004 can be written as follows:

∛1004

The ∛ symbol is called the radical sign. To simplify the cube root of 1004 means to get the simplest radical form of ∛1004.

We start by listing the factors of 1004 like so:

1, 2, 4, 251, 502, and 1004

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 1004 cannot be simplified.

Although we cannot simplify the cube root of 1004, we did enter the cube root of 1004 into our calculator and got the following answer to the cube root of 1004 in decimal form:

∛1004 ≈ 10.0133

You may also be interested to know that you can write the cube root of 1004 with an exponent instead of a radical like this:

∛1004 = 1004^⅓

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* List of Perfect Cubes