Here we will show you step-by-step how to simplify the cube root of 262. Before we continue, note that the cube root of 262 can be written as follows:
∛262
The ∛ symbol is called the radical sign. To simplify the cube root of 262 means to get the simplest radical form of ∛262.
We start by listing the factors of 262 like so:
1, 2, 131, and 262
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 262 cannot be simplified.
Although we cannot simplify the cube root of 262, we did enter the cube root of 262 into our calculator and got the following answer to the cube root of 262 in decimal form:
∛262 ≈ 6.3988
You may also be interested to know that you can write the cube root of 262 with an exponent instead of a radical like this:
∛262 = 262⅓
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Simplify Cube Root of 263
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* List of Perfect Cubes
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