Here we will show you step-by-step how to simplify the cube root of 213. Before we continue, note that the cube root of 213 can be written as follows:
∛213
The ∛ symbol is called the radical sign. To simplify the cube root of 213 means to get the simplest radical form of ∛213.
We start by listing the factors of 213 like so:
1, 3, 71, and 213
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 213 cannot be simplified.
Although we cannot simplify the cube root of 213, we did enter the cube root of 213 into our calculator and got the following answer to the cube root of 213 in decimal form:
∛213 ≈ 5.9721
You may also be interested to know that you can write the cube root of 213 with an exponent instead of a radical like this:
∛213 = 213⅓
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Simplify Cube Root of 214
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* List of Perfect Cubes
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