Simplify Cube Root of 5001

Here we will show you step-by-step how to simplify the cube root of 5001. Before we continue, note that the cube root of 5001 can be written as follows:

∛5001

The ∛ symbol is called the radical sign. To simplify the cube root of 5001 means to get the simplest radical form of ∛5001.

We start by listing the factors of 5001 like so:

1, 3, 1667, and 5001

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 5001 cannot be simplified.

Although we cannot simplify the cube root of 5001, we did enter the cube root of 5001 into our calculator and got the following answer to the cube root of 5001 in decimal form:

∛5001 ≈ 17.1009

You may also be interested to know that you can write the cube root of 5001 with an exponent instead of a radical like this:

∛5001 = 5001^⅓

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* List of Perfect Cubes