Simplify Cube Root of 470

Here we will show you step-by-step how to simplify the cube root of 470. Before we continue, note that the cube root of 470 can be written as follows:

∛470

The ∛ symbol is called the radical sign. To simplify the cube root of 470 means to get the simplest radical form of ∛470.

We start by listing the factors of 470 like so:

1, 2, 5, 10, 47, 94, 235, and 470

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 470 cannot be simplified.

Although we cannot simplify the cube root of 470, we did enter the cube root of 470 into our calculator and got the following answer to the cube root of 470 in decimal form:

∛470 ≈ 7.7750

You may also be interested to know that you can write the cube root of 470 with an exponent instead of a radical like this:

∛470 = 470^⅓

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Simplify Cube Root of 471
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* List of Perfect Cubes