Simplify Cube Root of 6684

Here we will show you step-by-step how to simplify the cube root of 6684. Before we continue, note that the cube root of 6684 can be written as follows:

∛6684

The ∛ symbol is called the radical sign. To simplify the cube root of 6684 means to get the simplest radical form of ∛6684.

We start by listing the factors of 6684 like so:

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, and 6684

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 6684 cannot be simplified.

Although we cannot simplify the cube root of 6684, we did enter the cube root of 6684 into our calculator and got the following answer to the cube root of 6684 in decimal form:

∛6684 ≈ 18.8370

You may also be interested to know that you can write the cube root of 6684 with an exponent instead of a radical like this:

∛6684 = 6684^⅓

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* List of Perfect Cubes