Simplify Cube Root of 2014

Here we will show you step-by-step how to simplify the cube root of 2014. Before we continue, note that the cube root of 2014 can be written as follows:

∛2014

The ∛ symbol is called the radical sign. To simplify the cube root of 2014 means to get the simplest radical form of ∛2014.

We start by listing the factors of 2014 like so:

1, 2, 19, 38, 53, 106, 1007, and 2014

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 2014 cannot be simplified.

Although we cannot simplify the cube root of 2014, we did enter the cube root of 2014 into our calculator and got the following answer to the cube root of 2014 in decimal form:

∛2014 ≈ 12.6285

You may also be interested to know that you can write the cube root of 2014 with an exponent instead of a radical like this:

∛2014 = 2014^⅓

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* List of Perfect Cubes