Simplify Cube Root of 492

Here we will show you step-by-step how to simplify the cube root of 492. Before we continue, note that the cube root of 492 can be written as follows:

∛492

The ∛ symbol is called the radical sign. To simplify the cube root of 492 means to get the simplest radical form of ∛492.

We start by listing the factors of 492 like so:

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, and 492

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 492 cannot be simplified.

Although we cannot simplify the cube root of 492, we did enter the cube root of 492 into our calculator and got the following answer to the cube root of 492 in decimal form:

∛492 ≈ 7.8944

You may also be interested to know that you can write the cube root of 492 with an exponent instead of a radical like this:

∛492 = 492^⅓

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Simplify Cube Root of 493
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* List of Perfect Cubes