Simplify Cube Root of 507

Here we will show you step-by-step how to simplify the cube root of 507. Before we continue, note that the cube root of 507 can be written as follows:

∛507

The ∛ symbol is called the radical sign. To simplify the cube root of 507 means to get the simplest radical form of ∛507.

We start by listing the factors of 507 like so:

1, 3, 13, 39, 169, and 507

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 507 cannot be simplified.

Although we cannot simplify the cube root of 507, we did enter the cube root of 507 into our calculator and got the following answer to the cube root of 507 in decimal form:

∛507 ≈ 7.9739

You may also be interested to know that you can write the cube root of 507 with an exponent instead of a radical like this:

∛507 = 507^⅓

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Simplify Cube Root of 508
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* List of Perfect Cubes