
Here we will show you step-by-step how to simplify the cube root of 253. Before we continue, note that the cube root of 253 can be written as follows:
∛253
The ∛ symbol is called the radical sign. To simplify the cube root of 253 means to get the simplest radical form of ∛253.
We start by listing the factors of 253 like so:
1, 11, 23, and 253
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 253 cannot be simplified.
Although we cannot simplify the cube root of 253, we did enter the cube root of 253 into our calculator and got the following answer to the cube root of 253 in decimal form:
∛253 ≈ 6.3247
You may also be interested to know that you can write the cube root of 253 with an exponent instead of a radical like this:
∛253 = 253⅓
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Simplify Cube Root of 254
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* List of Perfect Cubes
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