Simplify Cube Root of 468

Here we will show you step-by-step how to simplify the cube root of 468. Before we continue, note that the cube root of 468 can be written as follows:

∛468

The ∛ symbol is called the radical sign. To simplify the cube root of 468 means to get the simplest radical form of ∛468.

We start by listing the factors of 468 like so:

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, and 468

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 468 cannot be simplified.

Although we cannot simplify the cube root of 468, we did enter the cube root of 468 into our calculator and got the following answer to the cube root of 468 in decimal form:

∛468 ≈ 7.7639

You may also be interested to know that you can write the cube root of 468 with an exponent instead of a radical like this:

∛468 = 468^⅓

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Simplify Cube Root of 469
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* List of Perfect Cubes