Simplify Cube Root of 364

Here we will show you step-by-step how to simplify the cube root of 364. Before we continue, note that the cube root of 364 can be written as follows:

∛364

The ∛ symbol is called the radical sign. To simplify the cube root of 364 means to get the simplest radical form of ∛364.

We start by listing the factors of 364 like so:

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, and 364

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 364 cannot be simplified.

Although we cannot simplify the cube root of 364, we did enter the cube root of 364 into our calculator and got the following answer to the cube root of 364 in decimal form:

∛364 ≈ 7.1400

You may also be interested to know that you can write the cube root of 364 with an exponent instead of a radical like this:

∛364 = 364^⅓

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Simplify Cube Root of 365
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* List of Perfect Cubes