Simplify Cube Root of 214

Here we will show you step-by-step how to simplify the cube root of 214. Before we continue, note that the cube root of 214 can be written as follows:

∛214

The ∛ symbol is called the radical sign. To simplify the cube root of 214 means to get the simplest radical form of ∛214.

We start by listing the factors of 214 like so:

1, 2, 107, and 214

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 214 cannot be simplified.

Although we cannot simplify the cube root of 214, we did enter the cube root of 214 into our calculator and got the following answer to the cube root of 214 in decimal form:

∛214 ≈ 5.9814

You may also be interested to know that you can write the cube root of 214 with an exponent instead of a radical like this:

∛214 = 214^⅓

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Simplify Cube Root of 215
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* List of Perfect Cubes