Simplify Cube Root of 3639

Here we will show you step-by-step how to simplify the cube root of 3639. Before we continue, note that the cube root of 3639 can be written as follows:

∛3639

The ∛ symbol is called the radical sign. To simplify the cube root of 3639 means to get the simplest radical form of ∛3639.

We start by listing the factors of 3639 like so:

1, 3, 1213, and 3639

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 3639 cannot be simplified.

Although we cannot simplify the cube root of 3639, we did enter the cube root of 3639 into our calculator and got the following answer to the cube root of 3639 in decimal form:

∛3639 ≈ 15.3813

You may also be interested to know that you can write the cube root of 3639 with an exponent instead of a radical like this:

∛3639 = 3639^⅓

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* List of Perfect Cubes