Here we will show you step-by-step how to simplify the cube root of 259. Before we continue, note that the cube root of 259 can be written as follows:
∛259
The ∛ symbol is called the radical sign. To simplify the cube root of 259 means to get the simplest radical form of ∛259.
We start by listing the factors of 259 like so:
1, 7, 37, and 259
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 259 cannot be simplified.
Although we cannot simplify the cube root of 259, we did enter the cube root of 259 into our calculator and got the following answer to the cube root of 259 in decimal form:
∛259 ≈ 6.3743
You may also be interested to know that you can write the cube root of 259 with an exponent instead of a radical like this:
∛259 = 259⅓
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Simplify Cube Root of 260
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* List of Perfect Cubes
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