Simplify Cube Root of 36

Here we will show you step-by-step how to simplify the cube root of 36. Before we continue, note that the cube root of 36 can be written as follows:

∛36

The ∛ symbol is called the radical sign. To simplify the cube root of 36 means to get the simplest radical form of ∛36.

We start by listing the factors of 36 like so:

1, 2, 3, 4, 6, 9, 12, 18, and 36

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 36 cannot be simplified.

Although we cannot simplify the cube root of 36, we did enter the cube root of 36 into our calculator and got the following answer to the cube root of 36 in decimal form:

∛36 ≈ 3.3019

You may also be interested to know that you can write the cube root of 36 with an exponent instead of a radical like this:

∛36 = 36^⅓

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* List of Perfect Cubes