Simplify Cube Root of 171

Here we will show you step-by-step how to simplify the cube root of 171. Before we continue, note that the cube root of 171 can be written as follows:

∛171

The ∛ symbol is called the radical sign. To simplify the cube root of 171 means to get the simplest radical form of ∛171.

We start by listing the factors of 171 like so:

1, 3, 9, 19, 57, and 171

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 171 cannot be simplified.

Although we cannot simplify the cube root of 171, we did enter the cube root of 171 into our calculator and got the following answer to the cube root of 171 in decimal form:

∛171 ≈ 5.5505

You may also be interested to know that you can write the cube root of 171 with an exponent instead of a radical like this:

∛171 = 171^⅓

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Simplify Cube Root of 172
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* List of Perfect Cubes