Simplify Cube Root of 476

Here we will show you step-by-step how to simplify the cube root of 476. Before we continue, note that the cube root of 476 can be written as follows:

∛476

The ∛ symbol is called the radical sign. To simplify the cube root of 476 means to get the simplest radical form of ∛476.

We start by listing the factors of 476 like so:

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, and 476

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 476 cannot be simplified.

Although we cannot simplify the cube root of 476, we did enter the cube root of 476 into our calculator and got the following answer to the cube root of 476 in decimal form:

∛476 ≈ 7.8079

You may also be interested to know that you can write the cube root of 476 with an exponent instead of a radical like this:

∛476 = 476^⅓

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Simplify Cube Root of 477
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* List of Perfect Cubes