Here we will show you step-by-step how to simplify the cube root of 231. Before we continue, note that the cube root of 231 can be written as follows:
∛231
The ∛ symbol is called the radical sign. To simplify the cube root of 231 means to get the simplest radical form of ∛231.
We start by listing the factors of 231 like so:
1, 3, 7, 11, 21, 33, 77, and 231
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 231 cannot be simplified.
Although we cannot simplify the cube root of 231, we did enter the cube root of 231 into our calculator and got the following answer to the cube root of 231 in decimal form:
∛231 ≈ 6.1358
You may also be interested to know that you can write the cube root of 231 with an exponent instead of a radical like this:
∛231 = 231⅓
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Simplify Cube Root of 232
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* List of Perfect Cubes
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