Simplify Cube Root of 466

Here we will show you step-by-step how to simplify the cube root of 466. Before we continue, note that the cube root of 466 can be written as follows:

∛466

The ∛ symbol is called the radical sign. To simplify the cube root of 466 means to get the simplest radical form of ∛466.

We start by listing the factors of 466 like so:

1, 2, 233, and 466

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 466 cannot be simplified.

Although we cannot simplify the cube root of 466, we did enter the cube root of 466 into our calculator and got the following answer to the cube root of 466 in decimal form:

∛466 ≈ 7.7529

You may also be interested to know that you can write the cube root of 466 with an exponent instead of a radical like this:

∛466 = 466^⅓

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Simplify Cube Root of 467
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* List of Perfect Cubes