Simplify Cube Root of 7006

Here we will show you step-by-step how to simplify the cube root of 7006. Before we continue, note that the cube root of 7006 can be written as follows:

∛7006

The ∛ symbol is called the radical sign. To simplify the cube root of 7006 means to get the simplest radical form of ∛7006.

We start by listing the factors of 7006 like so:

1, 2, 31, 62, 113, 226, 3503, and 7006

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 7006 cannot be simplified.

Although we cannot simplify the cube root of 7006, we did enter the cube root of 7006 into our calculator and got the following answer to the cube root of 7006 in decimal form:

∛7006 ≈ 19.1348

You may also be interested to know that you can write the cube root of 7006 with an exponent instead of a radical like this:

∛7006 = 7006^⅓

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* List of Perfect Cubes