Simplify Cube Root of 165

Here we will show you step-by-step how to simplify the cube root of 165. Before we continue, note that the cube root of 165 can be written as follows:

∛165

The ∛ symbol is called the radical sign. To simplify the cube root of 165 means to get the simplest radical form of ∛165.

We start by listing the factors of 165 like so:

1, 3, 5, 11, 15, 33, 55, and 165

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 165 cannot be simplified.

Although we cannot simplify the cube root of 165, we did enter the cube root of 165 into our calculator and got the following answer to the cube root of 165 in decimal form:

∛165 ≈ 5.4848

You may also be interested to know that you can write the cube root of 165 with an exponent instead of a radical like this:

∛165 = 165^⅓

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Simplify Cube Root of 166
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* List of Perfect Cubes