Simplify Cube Root of 182

Here we will show you step-by-step how to simplify the cube root of 182. Before we continue, note that the cube root of 182 can be written as follows:

∛182

The ∛ symbol is called the radical sign. To simplify the cube root of 182 means to get the simplest radical form of ∛182.

We start by listing the factors of 182 like so:

1, 2, 7, 13, 14, 26, 91, and 182

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 182 cannot be simplified.

Although we cannot simplify the cube root of 182, we did enter the cube root of 182 into our calculator and got the following answer to the cube root of 182 in decimal form:

∛182 ≈ 5.6671

You may also be interested to know that you can write the cube root of 182 with an exponent instead of a radical like this:

∛182 = 182^⅓

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Simplify Cube Root of 183
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* List of Perfect Cubes