Simplify Cube Root of 82

Here we will show you step-by-step how to simplify the cube root of 82. Before we continue, note that the cube root of 82 can be written as follows:

∛82

The ∛ symbol is called the radical sign. To simplify the cube root of 82 means to get the simplest radical form of ∛82.

We start by listing the factors of 82 like so:

1, 2, 41, and 82

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 82 cannot be simplified.

Although we cannot simplify the cube root of 82, we did enter the cube root of 82 into our calculator and got the following answer to the cube root of 82 in decimal form:

∛82 ≈ 4.3445

You may also be interested to know that you can write the cube root of 82 with an exponent instead of a radical like this:

∛82 = 82^⅓

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Simplify Cube Root of 83
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* List of Perfect Cubes