Simplify Cube Root of 8742

Here we will show you step-by-step how to simplify the cube root of 8742. Before we continue, note that the cube root of 8742 can be written as follows:

∛8742

The ∛ symbol is called the radical sign. To simplify the cube root of 8742 means to get the simplest radical form of ∛8742.

We start by listing the factors of 8742 like so:

1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, and 8742

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 8742 cannot be simplified.

Although we cannot simplify the cube root of 8742, we did enter the cube root of 8742 into our calculator and got the following answer to the cube root of 8742 in decimal form:

∛8742 ≈ 20.6001

You may also be interested to know that you can write the cube root of 8742 with an exponent instead of a radical like this:

∛8742 = 8742^⅓

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Simplify Cube Root of 8743
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* List of Perfect Cubes