Simplify Cube Root of 180

Here we will show you step-by-step how to simplify the cube root of 180. Before we continue, note that the cube root of 180 can be written as follows:

∛180

The ∛ symbol is called the radical sign. To simplify the cube root of 180 means to get the simplest radical form of ∛180.

We start by listing the factors of 180 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

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 180 cannot be simplified.

Although we cannot simplify the cube root of 180, we did enter the cube root of 180 into our calculator and got the following answer to the cube root of 180 in decimal form:

∛180 ≈ 5.6462

You may also be interested to know that you can write the cube root of 180 with an exponent instead of a radical like this:

∛180 = 180^⅓

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Simplify Cube Root of 181
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* List of Perfect Cubes