Simplify Cube Root of 2013

Here we will show you step-by-step how to simplify the cube root of 2013. Before we continue, note that the cube root of 2013 can be written as follows:

∛2013

The ∛ symbol is called the radical sign. To simplify the cube root of 2013 means to get the simplest radical form of ∛2013.

We start by listing the factors of 2013 like so:

1, 3, 11, 33, 61, 183, 671, and 2013

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 2013 cannot be simplified.

Although we cannot simplify the cube root of 2013, we did enter the cube root of 2013 into our calculator and got the following answer to the cube root of 2013 in decimal form:

∛2013 ≈ 12.6264

You may also be interested to know that you can write the cube root of 2013 with an exponent instead of a radical like this:

∛2013 = 2013^⅓

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Simplify Cube Root of 2014
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* List of Perfect Cubes