Simplify Cube Root of 510

Here we will show you step-by-step how to simplify the cube root of 510. Before we continue, note that the cube root of 510 can be written as follows:

∛510

The ∛ symbol is called the radical sign. To simplify the cube root of 510 means to get the simplest radical form of ∛510.

We start by listing the factors of 510 like so:

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, and 510

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 510 cannot be simplified.

Although we cannot simplify the cube root of 510, we did enter the cube root of 510 into our calculator and got the following answer to the cube root of 510 in decimal form:

∛510 ≈ 7.9896

You may also be interested to know that you can write the cube root of 510 with an exponent instead of a radical like this:

∛510 = 510^⅓

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Simplify Cube Root of 511
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* List of Perfect Cubes