Simplify Cube Root of 460

Here we will show you step-by-step how to simplify the cube root of 460. Before we continue, note that the cube root of 460 can be written as follows:

∛460

The ∛ symbol is called the radical sign. To simplify the cube root of 460 means to get the simplest radical form of ∛460.

We start by listing the factors of 460 like so:

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, and 460

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 460 cannot be simplified.

Although we cannot simplify the cube root of 460, we did enter the cube root of 460 into our calculator and got the following answer to the cube root of 460 in decimal form:

∛460 ≈ 7.7194

You may also be interested to know that you can write the cube root of 460 with an exponent instead of a radical like this:

∛460 = 460^⅓

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Simplify Cube Root of 461
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* List of Perfect Cubes