Simplify Cube Root of 195

Here we will show you step-by-step how to simplify the cube root of 195. Before we continue, note that the cube root of 195 can be written as follows:

∛195

The ∛ symbol is called the radical sign. To simplify the cube root of 195 means to get the simplest radical form of ∛195.

We start by listing the factors of 195 like so:

1, 3, 5, 13, 15, 39, 65, and 195

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 195 cannot be simplified.

Although we cannot simplify the cube root of 195, we did enter the cube root of 195 into our calculator and got the following answer to the cube root of 195 in decimal form:

∛195 ≈ 5.7989

You may also be interested to know that you can write the cube root of 195 with an exponent instead of a radical like this:

∛195 = 195^⅓

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* List of Perfect Cubes