Simplify Cube Root of 164

Here we will show you step-by-step how to simplify the cube root of 164. Before we continue, note that the cube root of 164 can be written as follows:

∛164

The ∛ symbol is called the radical sign. To simplify the cube root of 164 means to get the simplest radical form of ∛164.

We start by listing the factors of 164 like so:

1, 2, 4, 41, 82, and 164

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 164 cannot be simplified.

Although we cannot simplify the cube root of 164, we did enter the cube root of 164 into our calculator and got the following answer to the cube root of 164 in decimal form:

∛164 ≈ 5.4737

You may also be interested to know that you can write the cube root of 164 with an exponent instead of a radical like this:

∛164 = 164^⅓

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Simplify Cube Root of 165
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* List of Perfect Cubes