Simplify Cube Root of 2010

Here we will show you step-by-step how to simplify the cube root of 2010. Before we continue, note that the cube root of 2010 can be written as follows:

∛2010

The ∛ symbol is called the radical sign. To simplify the cube root of 2010 means to get the simplest radical form of ∛2010.

We start by listing the factors of 2010 like so:

1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, and 2010

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 2010 cannot be simplified.

Although we cannot simplify the cube root of 2010, we did enter the cube root of 2010 into our calculator and got the following answer to the cube root of 2010 in decimal form:

∛2010 ≈ 12.6202

You may also be interested to know that you can write the cube root of 2010 with an exponent instead of a radical like this:

∛2010 = 2010^⅓

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* List of Perfect Cubes