Simplify Cube Root of 5006

Here we will show you step-by-step how to simplify the cube root of 5006. Before we continue, note that the cube root of 5006 can be written as follows:

∛5006

The ∛ symbol is called the radical sign. To simplify the cube root of 5006 means to get the simplest radical form of ∛5006.

We start by listing the factors of 5006 like so:

1, 2, 2503, and 5006

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 5006 cannot be simplified.

Although we cannot simplify the cube root of 5006, we did enter the cube root of 5006 into our calculator and got the following answer to the cube root of 5006 in decimal form:

∛5006 ≈ 17.1066

You may also be interested to know that you can write the cube root of 5006 with an exponent instead of a radical like this:

∛5006 = 5006^⅓

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Simplify Cube Root of 5007
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* List of Perfect Cubes