Simplify Cube Root of 301

Here we will show you step-by-step how to simplify the cube root of 301. Before we continue, note that the cube root of 301 can be written as follows:

∛301

The ∛ symbol is called the radical sign. To simplify the cube root of 301 means to get the simplest radical form of ∛301.

We start by listing the factors of 301 like so:

1, 7, 43, and 301

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 301 cannot be simplified.

Although we cannot simplify the cube root of 301, we did enter the cube root of 301 into our calculator and got the following answer to the cube root of 301 in decimal form:

∛301 ≈ 6.7018

You may also be interested to know that you can write the cube root of 301 with an exponent instead of a radical like this:

∛301 = 301^⅓

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* List of Perfect Cubes