Simplify Cube Root of 489

Here we will show you step-by-step how to simplify the cube root of 489. Before we continue, note that the cube root of 489 can be written as follows:

∛489

The ∛ symbol is called the radical sign. To simplify the cube root of 489 means to get the simplest radical form of ∛489.

We start by listing the factors of 489 like so:

1, 3, 163, and 489

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 489 cannot be simplified.

Although we cannot simplify the cube root of 489, we did enter the cube root of 489 into our calculator and got the following answer to the cube root of 489 in decimal form:

∛489 ≈ 7.8784

You may also be interested to know that you can write the cube root of 489 with an exponent instead of a radical like this:

∛489 = 489^⅓

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* List of Perfect Cubes