Simplify Cube Root of 2666

Here we will show you step-by-step how to simplify the cube root of 2666. Before we continue, note that the cube root of 2666 can be written as follows:

∛2666

The ∛ symbol is called the radical sign. To simplify the cube root of 2666 means to get the simplest radical form of ∛2666.

We start by listing the factors of 2666 like so:

1, 2, 31, 43, 62, 86, 1333, and 2666

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 2666 cannot be simplified.

Although we cannot simplify the cube root of 2666, we did enter the cube root of 2666 into our calculator and got the following answer to the cube root of 2666 in decimal form:

∛2666 ≈ 13.8661

You may also be interested to know that you can write the cube root of 2666 with an exponent instead of a radical like this:

∛2666 = 2666^⅓

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Simplify Cube Root of 2667
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* List of Perfect Cubes