Simplify Cube Root of 8225

Here we will show you step-by-step how to simplify the cube root of 8225. Before we continue, note that the cube root of 8225 can be written as follows:

∛8225

The ∛ symbol is called the radical sign. To simplify the cube root of 8225 means to get the simplest radical form of ∛8225.

We start by listing the factors of 8225 like so:

1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, and 8225

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 8225 cannot be simplified.

Although we cannot simplify the cube root of 8225, we did enter the cube root of 8225 into our calculator and got the following answer to the cube root of 8225 in decimal form:

∛8225 ≈ 20.1858

You may also be interested to know that you can write the cube root of 8225 with an exponent instead of a radical like this:

∛8225 = 8225^⅓

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* List of Perfect Cubes