Simplify Cube Root of 477

Here we will show you step-by-step how to simplify the cube root of 477. Before we continue, note that the cube root of 477 can be written as follows:

∛477

The ∛ symbol is called the radical sign. To simplify the cube root of 477 means to get the simplest radical form of ∛477.

We start by listing the factors of 477 like so:

1, 3, 9, 53, 159, and 477

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 477 cannot be simplified.

Although we cannot simplify the cube root of 477, we did enter the cube root of 477 into our calculator and got the following answer to the cube root of 477 in decimal form:

∛477 ≈ 7.8134

You may also be interested to know that you can write the cube root of 477 with an exponent instead of a radical like this:

∛477 = 477^⅓

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Simplify Cube Root of 478
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* List of Perfect Cubes