Simplify Cube Root of 8762

Here we will show you step-by-step how to simplify the cube root of 8762. Before we continue, note that the cube root of 8762 can be written as follows:

∛8762

The ∛ symbol is called the radical sign. To simplify the cube root of 8762 means to get the simplest radical form of ∛8762.

We start by listing the factors of 8762 like so:

1, 2, 13, 26, 337, 674, 4381, and 8762

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 8762 cannot be simplified.

Although we cannot simplify the cube root of 8762, we did enter the cube root of 8762 into our calculator and got the following answer to the cube root of 8762 in decimal form:

∛8762 ≈ 20.6158

You may also be interested to know that you can write the cube root of 8762 with an exponent instead of a radical like this:

∛8762 = 8762^⅓

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Simplify Cube Root of 8763
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* List of Perfect Cubes