Simplify Cube Root of 689

Here we will show you step-by-step how to simplify the cube root of 689. Before we continue, note that the cube root of 689 can be written as follows:

∛689

The ∛ symbol is called the radical sign. To simplify the cube root of 689 means to get the simplest radical form of ∛689.

We start by listing the factors of 689 like so:

1, 13, 53, and 689

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 689 cannot be simplified.

Although we cannot simplify the cube root of 689, we did enter the cube root of 689 into our calculator and got the following answer to the cube root of 689 in decimal form:

∛689 ≈ 8.8323

You may also be interested to know that you can write the cube root of 689 with an exponent instead of a radical like this:

∛689 = 689^⅓

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* List of Perfect Cubes