Simplify Cube Root of 1003

Here we will show you step-by-step how to simplify the cube root of 1003. Before we continue, note that the cube root of 1003 can be written as follows:

∛1003

The ∛ symbol is called the radical sign. To simplify the cube root of 1003 means to get the simplest radical form of ∛1003.

We start by listing the factors of 1003 like so:

1, 17, 59, and 1003

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 1003 cannot be simplified.

Although we cannot simplify the cube root of 1003, we did enter the cube root of 1003 into our calculator and got the following answer to the cube root of 1003 in decimal form:

∛1003 ≈ 10.0100

You may also be interested to know that you can write the cube root of 1003 with an exponent instead of a radical like this:

∛1003 = 1003^⅓

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* List of Perfect Cubes