Simplify Cube Root of 458

Here we will show you step-by-step how to simplify the cube root of 458. Before we continue, note that the cube root of 458 can be written as follows:

∛458

The ∛ symbol is called the radical sign. To simplify the cube root of 458 means to get the simplest radical form of ∛458.

We start by listing the factors of 458 like so:

1, 2, 229, and 458

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 458 cannot be simplified.

Although we cannot simplify the cube root of 458, we did enter the cube root of 458 into our calculator and got the following answer to the cube root of 458 in decimal form:

∛458 ≈ 7.7082

You may also be interested to know that you can write the cube root of 458 with an exponent instead of a radical like this:

∛458 = 458^⅓

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Simplify Cube Root of 459
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* List of Perfect Cubes