Simplify Cube Root of 828

Here we will show you step-by-step how to simplify the cube root of 828. Before we continue, note that the cube root of 828 can be written as follows:

∛828

The ∛ symbol is called the radical sign. To simplify the cube root of 828 means to get the simplest radical form of ∛828.

We start by listing the factors of 828 like so:

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, and 828

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 828 cannot be simplified.

Although we cannot simplify the cube root of 828, we did enter the cube root of 828 into our calculator and got the following answer to the cube root of 828 in decimal form:

∛828 ≈ 9.3902

You may also be interested to know that you can write the cube root of 828 with an exponent instead of a radical like this:

∛828 = 828^⅓

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Simplify Cube Root of 829
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* List of Perfect Cubes