Simplify Cube Root of 8075

Here we will show you step-by-step how to simplify the cube root of 8075. Before we continue, note that the cube root of 8075 can be written as follows:

∛8075

The ∛ symbol is called the radical sign. To simplify the cube root of 8075 means to get the simplest radical form of ∛8075.

We start by listing the factors of 8075 like so:

1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, and 8075

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 8075 cannot be simplified.

Although we cannot simplify the cube root of 8075, we did enter the cube root of 8075 into our calculator and got the following answer to the cube root of 8075 in decimal form:

∛8075 ≈ 20.0623

You may also be interested to know that you can write the cube root of 8075 with an exponent instead of a radical like this:

∛8075 = 8075^⅓

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* List of Perfect Cubes