Here we will show you step-by-step how to simplify the cube root of 258. Before we continue, note that the cube root of 258 can be written as follows:
∛258
The ∛ symbol is called the radical sign. To simplify the cube root of 258 means to get the simplest radical form of ∛258.
We start by listing the factors of 258 like so:
1, 2, 3, 6, 43, 86, 129, and 258
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 258 cannot be simplified.
Although we cannot simplify the cube root of 258, we did enter the cube root of 258 into our calculator and got the following answer to the cube root of 258 in decimal form:
∛258 ≈ 6.3661
You may also be interested to know that you can write the cube root of 258 with an exponent instead of a radical like this:
∛258 = 258⅓
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Simplify Cube Root of 259
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* List of Perfect Cubes
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