Simplify Cube Root of 3009

Here we will show you step-by-step how to simplify the cube root of 3009. Before we continue, note that the cube root of 3009 can be written as follows:

∛3009

The ∛ symbol is called the radical sign. To simplify the cube root of 3009 means to get the simplest radical form of ∛3009.

We start by listing the factors of 3009 like so:

1, 3, 17, 51, 59, 177, 1003, and 3009

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 3009 cannot be simplified.

Although we cannot simplify the cube root of 3009, we did enter the cube root of 3009 into our calculator and got the following answer to the cube root of 3009 in decimal form:

∛3009 ≈ 14.4369

You may also be interested to know that you can write the cube root of 3009 with an exponent instead of a radical like this:

∛3009 = 3009^⅓

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* List of Perfect Cubes