Simplify Cube Root of 381

Here we will show you step-by-step how to simplify the cube root of 381. Before we continue, note that the cube root of 381 can be written as follows:

∛381

The ∛ symbol is called the radical sign. To simplify the cube root of 381 means to get the simplest radical form of ∛381.

We start by listing the factors of 381 like so:

1, 3, 127, and 381

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 381 cannot be simplified.

Although we cannot simplify the cube root of 381, we did enter the cube root of 381 into our calculator and got the following answer to the cube root of 381 in decimal form:

∛381 ≈ 7.2495

You may also be interested to know that you can write the cube root of 381 with an exponent instead of a radical like this:

∛381 = 381^⅓

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Simplify Cube Root of 382
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* List of Perfect Cubes