Simplify Cube Root of 814

Here we will show you step-by-step how to simplify the cube root of 814. Before we continue, note that the cube root of 814 can be written as follows:

∛814

The ∛ symbol is called the radical sign. To simplify the cube root of 814 means to get the simplest radical form of ∛814.

We start by listing the factors of 814 like so:

1, 2, 11, 22, 37, 74, 407, and 814

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 814 cannot be simplified.

Although we cannot simplify the cube root of 814, we did enter the cube root of 814 into our calculator and got the following answer to the cube root of 814 in decimal form:

∛814 ≈ 9.3370

You may also be interested to know that you can write the cube root of 814 with an exponent instead of a radical like this:

∛814 = 814^⅓

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Simplify Cube Root of 815
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* List of Perfect Cubes