Simplify Cube Root of 3165

Here we will show you step-by-step how to simplify the cube root of 3165. Before we continue, note that the cube root of 3165 can be written as follows:

∛3165

The ∛ symbol is called the radical sign. To simplify the cube root of 3165 means to get the simplest radical form of ∛3165.

We start by listing the factors of 3165 like so:

1, 3, 5, 15, 211, 633, 1055, and 3165

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 3165 cannot be simplified.

Although we cannot simplify the cube root of 3165, we did enter the cube root of 3165 into our calculator and got the following answer to the cube root of 3165 in decimal form:

∛3165 ≈ 14.6822

You may also be interested to know that you can write the cube root of 3165 with an exponent instead of a radical like this:

∛3165 = 3165^⅓

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Simplify Cube Root of 3166
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* List of Perfect Cubes