Simplify Cube Root of 3409

Here we will show you step-by-step how to simplify the cube root of 3409. Before we continue, note that the cube root of 3409 can be written as follows:

∛3409

The ∛ symbol is called the radical sign. To simplify the cube root of 3409 means to get the simplest radical form of ∛3409.

We start by listing the factors of 3409 like so:

1, 7, 487, and 3409

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 3409 cannot be simplified.

Although we cannot simplify the cube root of 3409, we did enter the cube root of 3409 into our calculator and got the following answer to the cube root of 3409 in decimal form:

∛3409 ≈ 15.0502

You may also be interested to know that you can write the cube root of 3409 with an exponent instead of a radical like this:

∛3409 = 3409^⅓

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* List of Perfect Cubes