Simplify Cube Root of 3

Here we will show you step-by-step how to simplify the cube root of 3. Before we continue, note that the cube root of 3 can be written as follows:

∛3

The ∛ symbol is called the radical sign. To simplify the cube root of 3 means to get the simplest radical form of ∛3.

We start by listing the factors of 3 like so:

1 and 3

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 3 cannot be simplified.

Although we cannot simplify the cube root of 3, we did enter the cube root of 3 into our calculator and got the following answer to the cube root of 3 in decimal form:

∛3 ≈ 1.4422

You may also be interested to know that you can write the cube root of 3 with an exponent instead of a radical like this:

∛3 = 3^⅓

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* List of Perfect Cubes