Simplify Cube Root of 361

Here we will show you step-by-step how to simplify the cube root of 361. Before we continue, note that the cube root of 361 can be written as follows:

∛361

The ∛ symbol is called the radical sign. To simplify the cube root of 361 means to get the simplest radical form of ∛361.

We start by listing the factors of 361 like so:

1, 19, and 361

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 361 cannot be simplified.

Although we cannot simplify the cube root of 361, we did enter the cube root of 361 into our calculator and got the following answer to the cube root of 361 in decimal form:

∛361 ≈ 7.1204

You may also be interested to know that you can write the cube root of 361 with an exponent instead of a radical like this:

∛361 = 361^⅓

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* List of Perfect Cubes