Simplify Cube Root of 338

Here we will show you step-by-step how to simplify the cube root of 338. Before we continue, note that the cube root of 338 can be written as follows:

∛338

The ∛ symbol is called the radical sign. To simplify the cube root of 338 means to get the simplest radical form of ∛338.

We start by listing the factors of 338 like so:

1, 2, 13, 26, 169, and 338

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 338 cannot be simplified.

Although we cannot simplify the cube root of 338, we did enter the cube root of 338 into our calculator and got the following answer to the cube root of 338 in decimal form:

∛338 ≈ 6.9658

You may also be interested to know that you can write the cube root of 338 with an exponent instead of a radical like this:

∛338 = 338^⅓

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Simplify Cube Root of 339
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* List of Perfect Cubes