Simplify Cube Root of 4676

Here we will show you step-by-step how to simplify the cube root of 4676. Before we continue, note that the cube root of 4676 can be written as follows:

∛4676

The ∛ symbol is called the radical sign. To simplify the cube root of 4676 means to get the simplest radical form of ∛4676.

We start by listing the factors of 4676 like so:

1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, and 4676

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 4676 cannot be simplified.

Although we cannot simplify the cube root of 4676, we did enter the cube root of 4676 into our calculator and got the following answer to the cube root of 4676 in decimal form:

∛4676 ≈ 16.7221

You may also be interested to know that you can write the cube root of 4676 with an exponent instead of a radical like this:

∛4676 = 4676^⅓

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Simplify Cube Root of 4677
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* List of Perfect Cubes