Simplify Cube Root of 330

Here we will show you step-by-step how to simplify the cube root of 330. Before we continue, note that the cube root of 330 can be written as follows:

∛330

The ∛ symbol is called the radical sign. To simplify the cube root of 330 means to get the simplest radical form of ∛330.

We start by listing the factors of 330 like so:

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, and 330

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 330 cannot be simplified.

Although we cannot simplify the cube root of 330, we did enter the cube root of 330 into our calculator and got the following answer to the cube root of 330 in decimal form:

∛330 ≈ 6.9104

You may also be interested to know that you can write the cube root of 330 with an exponent instead of a radical like this:

∛330 = 330^⅓

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Simplify Cube Root of 331
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* List of Perfect Cubes