Simplify Cube Root of 6409

Here we will show you step-by-step how to simplify the cube root of 6409. Before we continue, note that the cube root of 6409 can be written as follows:

∛6409

The ∛ symbol is called the radical sign. To simplify the cube root of 6409 means to get the simplest radical form of ∛6409.

We start by listing the factors of 6409 like so:

1, 13, 17, 29, 221, 377, 493, and 6409

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 6409 cannot be simplified.

Although we cannot simplify the cube root of 6409, we did enter the cube root of 6409 into our calculator and got the following answer to the cube root of 6409 in decimal form:

∛6409 ≈ 18.5751

You may also be interested to know that you can write the cube root of 6409 with an exponent instead of a radical like this:

∛6409 = 6409^⅓

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* List of Perfect Cubes