Simplify Cube Root of 404

Here we will show you step-by-step how to simplify the cube root of 404. Before we continue, note that the cube root of 404 can be written as follows:

∛404

The ∛ symbol is called the radical sign. To simplify the cube root of 404 means to get the simplest radical form of ∛404.

We start by listing the factors of 404 like so:

1, 2, 4, 101, 202, and 404

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 404 cannot be simplified.

Although we cannot simplify the cube root of 404, we did enter the cube root of 404 into our calculator and got the following answer to the cube root of 404 in decimal form:

∛404 ≈ 7.3925

You may also be interested to know that you can write the cube root of 404 with an exponent instead of a radical like this:

∛404 = 404^⅓

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* List of Perfect Cubes