Simplify Cube Root of 493

Here we will show you step-by-step how to simplify the cube root of 493. Before we continue, note that the cube root of 493 can be written as follows:

∛493

The ∛ symbol is called the radical sign. To simplify the cube root of 493 means to get the simplest radical form of ∛493.

We start by listing the factors of 493 like so:

1, 17, 29, and 493

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 493 cannot be simplified.

Although we cannot simplify the cube root of 493, we did enter the cube root of 493 into our calculator and got the following answer to the cube root of 493 in decimal form:

∛493 ≈ 7.8998

You may also be interested to know that you can write the cube root of 493 with an exponent instead of a radical like this:

∛493 = 493^⅓

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Simplify Cube Root of 494
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* List of Perfect Cubes