Simplify Cube Root of 5005

Here we will show you step-by-step how to simplify the cube root of 5005. Before we continue, note that the cube root of 5005 can be written as follows:

∛5005

The ∛ symbol is called the radical sign. To simplify the cube root of 5005 means to get the simplest radical form of ∛5005.

We start by listing the factors of 5005 like so:

1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, and 5005

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 5005 cannot be simplified.

Although we cannot simplify the cube root of 5005, we did enter the cube root of 5005 into our calculator and got the following answer to the cube root of 5005 in decimal form:

∛5005 ≈ 17.1055

You may also be interested to know that you can write the cube root of 5005 with an exponent instead of a radical like this:

∛5005 = 5005^⅓

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* List of Perfect Cubes