Simplify Cube Root of 363

Here we will show you step-by-step how to simplify the cube root of 363. Before we continue, note that the cube root of 363 can be written as follows:

∛363

The ∛ symbol is called the radical sign. To simplify the cube root of 363 means to get the simplest radical form of ∛363.

We start by listing the factors of 363 like so:

1, 3, 11, 33, 121, and 363

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 363 cannot be simplified.

Although we cannot simplify the cube root of 363, we did enter the cube root of 363 into our calculator and got the following answer to the cube root of 363 in decimal form:

∛363 ≈ 7.1335

You may also be interested to know that you can write the cube root of 363 with an exponent instead of a radical like this:

∛363 = 363^⅓

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Simplify Cube Root of 364
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* List of Perfect Cubes