Simplify Cube Root of 1005

Here we will show you step-by-step how to simplify the cube root of 1005. Before we continue, note that the cube root of 1005 can be written as follows:

∛1005

The ∛ symbol is called the radical sign. To simplify the cube root of 1005 means to get the simplest radical form of ∛1005.

We start by listing the factors of 1005 like so:

1, 3, 5, 15, 67, 201, 335, and 1005

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 1005 cannot be simplified.

Although we cannot simplify the cube root of 1005, we did enter the cube root of 1005 into our calculator and got the following answer to the cube root of 1005 in decimal form:

∛1005 ≈ 10.0166

You may also be interested to know that you can write the cube root of 1005 with an exponent instead of a radical like this:

∛1005 = 1005^⅓

Simplify Cube Root Calculator
Please enter another cube root for us to simplify:

Simplify Cube Root of 1006
The answer to "simplify cube root of 1005" is not the only problem we have solved. Go here for the next problem on our list.

* List of Perfect Cubes