Simplify Cube Root of 6407

Here we will show you step-by-step how to simplify the cube root of 6407. Before we continue, note that the cube root of 6407 can be written as follows:

∛6407

The ∛ symbol is called the radical sign. To simplify the cube root of 6407 means to get the simplest radical form of ∛6407.

We start by listing the factors of 6407 like so:

1, 43, 149, and 6407

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 6407 cannot be simplified.

Although we cannot simplify the cube root of 6407, we did enter the cube root of 6407 into our calculator and got the following answer to the cube root of 6407 in decimal form:

∛6407 ≈ 18.5731

You may also be interested to know that you can write the cube root of 6407 with an exponent instead of a radical like this:

∛6407 = 6407^⅓

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* List of Perfect Cubes