Simplify Cube Root of 382

Here we will show you step-by-step how to simplify the cube root of 382. Before we continue, note that the cube root of 382 can be written as follows:

∛382

The ∛ symbol is called the radical sign. To simplify the cube root of 382 means to get the simplest radical form of ∛382.

We start by listing the factors of 382 like so:

1, 2, 191, and 382

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 382 cannot be simplified.

Although we cannot simplify the cube root of 382, we did enter the cube root of 382 into our calculator and got the following answer to the cube root of 382 in decimal form:

∛382 ≈ 7.2558

You may also be interested to know that you can write the cube root of 382 with an exponent instead of a radical like this:

∛382 = 382^⅓

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Simplify Cube Root of 383
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* List of Perfect Cubes