Simplify Cube Root of 8414

Here we will show you step-by-step how to simplify the cube root of 8414. Before we continue, note that the cube root of 8414 can be written as follows:

∛8414

The ∛ symbol is called the radical sign. To simplify the cube root of 8414 means to get the simplest radical form of ∛8414.

We start by listing the factors of 8414 like so:

1, 2, 7, 14, 601, 1202, 4207, and 8414

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 8414 cannot be simplified.

Although we cannot simplify the cube root of 8414, we did enter the cube root of 8414 into our calculator and got the following answer to the cube root of 8414 in decimal form:

∛8414 ≈ 20.3392

You may also be interested to know that you can write the cube root of 8414 with an exponent instead of a radical like this:

∛8414 = 8414^⅓

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Simplify Cube Root of 8415
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* List of Perfect Cubes