Simplify Cube Root of 3404

Here we will show you step-by-step how to simplify the cube root of 3404. Before we continue, note that the cube root of 3404 can be written as follows:

∛3404

The ∛ symbol is called the radical sign. To simplify the cube root of 3404 means to get the simplest radical form of ∛3404.

We start by listing the factors of 3404 like so:

1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, and 3404

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 3404 cannot be simplified.

Although we cannot simplify the cube root of 3404, we did enter the cube root of 3404 into our calculator and got the following answer to the cube root of 3404 in decimal form:

∛3404 ≈ 15.0428

You may also be interested to know that you can write the cube root of 3404 with an exponent instead of a radical like this:

∛3404 = 3404^⅓

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Simplify Cube Root of 3405
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* List of Perfect Cubes