Simplify Cube Root of 75

Here we will show you step-by-step how to simplify the cube root of 75. Before we continue, note that the cube root of 75 can be written as follows:

∛75

The ∛ symbol is called the radical sign. To simplify the cube root of 75 means to get the simplest radical form of ∛75.

We start by listing the factors of 75 like so:

1, 3, 5, 15, 25, and 75

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 75 cannot be simplified.

Although we cannot simplify the cube root of 75, we did enter the cube root of 75 into our calculator and got the following answer to the cube root of 75 in decimal form:

∛75 ≈ 4.2172

You may also be interested to know that you can write the cube root of 75 with an exponent instead of a radical like this:

∛75 = 75^⅓

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* List of Perfect Cubes