Simplify Cube Root of 225

Here we will show you step-by-step how to simplify the cube root of 225. Before we continue, note that the cube root of 225 can be written as follows:

∛225

The ∛ symbol is called the radical sign. To simplify the cube root of 225 means to get the simplest radical form of ∛225.

We start by listing the factors of 225 like so:

1, 3, 5, 9, 15, 25, 45, 75, and 225

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 225 cannot be simplified.

Although we cannot simplify the cube root of 225, we did enter the cube root of 225 into our calculator and got the following answer to the cube root of 225 in decimal form:

∛225 ≈ 6.0822

You may also be interested to know that you can write the cube root of 225 with an exponent instead of a radical like this:

∛225 = 225^⅓

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Simplify Cube Root of 226
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* List of Perfect Cubes