Simplify Cube Root of 8164

Here we will show you step-by-step how to simplify the cube root of 8164. Before we continue, note that the cube root of 8164 can be written as follows:

∛8164

The ∛ symbol is called the radical sign. To simplify the cube root of 8164 means to get the simplest radical form of ∛8164.

We start by listing the factors of 8164 like so:

1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, and 8164

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 8164 cannot be simplified.

Although we cannot simplify the cube root of 8164, we did enter the cube root of 8164 into our calculator and got the following answer to the cube root of 8164 in decimal form:

∛8164 ≈ 20.1357

You may also be interested to know that you can write the cube root of 8164 with an exponent instead of a radical like this:

∛8164 = 8164^⅓

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Simplify Cube Root of 8165
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* List of Perfect Cubes