Simplify Cube Root of 2002

Here we will show you step-by-step how to simplify the cube root of 2002. Before we continue, note that the cube root of 2002 can be written as follows:

∛2002

The ∛ symbol is called the radical sign. To simplify the cube root of 2002 means to get the simplest radical form of ∛2002.

We start by listing the factors of 2002 like so:

1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, and 2002

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 2002 cannot be simplified.

Although we cannot simplify the cube root of 2002, we did enter the cube root of 2002 into our calculator and got the following answer to the cube root of 2002 in decimal form:

∛2002 ≈ 12.6034

You may also be interested to know that you can write the cube root of 2002 with an exponent instead of a radical like this:

∛2002 = 2002^⅓

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Simplify Cube Root of 2003
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* List of Perfect Cubes