Simplify Cube Root of 8764

Here we will show you step-by-step how to simplify the cube root of 8764. Before we continue, note that the cube root of 8764 can be written as follows:

∛8764

The ∛ symbol is called the radical sign. To simplify the cube root of 8764 means to get the simplest radical form of ∛8764.

We start by listing the factors of 8764 like so:

1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, and 8764

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 8764 cannot be simplified.

Although we cannot simplify the cube root of 8764, we did enter the cube root of 8764 into our calculator and got the following answer to the cube root of 8764 in decimal form:

∛8764 ≈ 20.6174

You may also be interested to know that you can write the cube root of 8764 with an exponent instead of a radical like this:

∛8764 = 8764^⅓

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Simplify Cube Root of 8765
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* List of Perfect Cubes