Simplify Cube Root of 4662

Here we will show you step-by-step how to simplify the cube root of 4662. Before we continue, note that the cube root of 4662 can be written as follows:

∛4662

The ∛ symbol is called the radical sign. To simplify the cube root of 4662 means to get the simplest radical form of ∛4662.

We start by listing the factors of 4662 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, and 4662

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 4662 cannot be simplified.

Although we cannot simplify the cube root of 4662, we did enter the cube root of 4662 into our calculator and got the following answer to the cube root of 4662 in decimal form:

∛4662 ≈ 16.7054

You may also be interested to know that you can write the cube root of 4662 with an exponent instead of a radical like this:

∛4662 = 4662^⅓

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Simplify Cube Root of 4663
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* List of Perfect Cubes