Simplify Cube Root of 2604

Here we will show you step-by-step how to simplify the cube root of 2604. Before we continue, note that the cube root of 2604 can be written as follows:

∛2604

The ∛ symbol is called the radical sign. To simplify the cube root of 2604 means to get the simplest radical form of ∛2604.

We start by listing the factors of 2604 like so:

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, and 2604

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 2604 cannot be simplified.

Although we cannot simplify the cube root of 2604, we did enter the cube root of 2604 into our calculator and got the following answer to the cube root of 2604 in decimal form:

∛2604 ≈ 13.7577

You may also be interested to know that you can write the cube root of 2604 with an exponent instead of a radical like this:

∛2604 = 2604^⅓

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* List of Perfect Cubes