Simplify Cube Root of 508

Here we will show you step-by-step how to simplify the cube root of 508. Before we continue, note that the cube root of 508 can be written as follows:

∛508

The ∛ symbol is called the radical sign. To simplify the cube root of 508 means to get the simplest radical form of ∛508.

We start by listing the factors of 508 like so:

1, 2, 4, 127, 254, and 508

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 508 cannot be simplified.

Although we cannot simplify the cube root of 508, we did enter the cube root of 508 into our calculator and got the following answer to the cube root of 508 in decimal form:

∛508 ≈ 7.9791

You may also be interested to know that you can write the cube root of 508 with an exponent instead of a radical like this:

∛508 = 508^⅓

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Simplify Cube Root of 509
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* List of Perfect Cubes