Simplify Cube Root of 660

Here we will show you step-by-step how to simplify the cube root of 660. Before we continue, note that the cube root of 660 can be written as follows:

∛660

The ∛ symbol is called the radical sign. To simplify the cube root of 660 means to get the simplest radical form of ∛660.

We start by listing the factors of 660 like so:

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, and 660

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 660 cannot be simplified.

Although we cannot simplify the cube root of 660, we did enter the cube root of 660 into our calculator and got the following answer to the cube root of 660 in decimal form:

∛660 ≈ 8.7066

You may also be interested to know that you can write the cube root of 660 with an exponent instead of a radical like this:

∛660 = 660^⅓

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* List of Perfect Cubes