Simplify Cube Root of 289

Here we will show you step-by-step how to simplify the cube root of 289. Before we continue, note that the cube root of 289 can be written as follows:

∛289

The ∛ symbol is called the radical sign. To simplify the cube root of 289 means to get the simplest radical form of ∛289.

We start by listing the factors of 289 like so:

1, 17, and 289

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 289 cannot be simplified.

Although we cannot simplify the cube root of 289, we did enter the cube root of 289 into our calculator and got the following answer to the cube root of 289 in decimal form:

∛289 ≈ 6.6115

You may also be interested to know that you can write the cube root of 289 with an exponent instead of a radical like this:

∛289 = 289^⅓

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Simplify Cube Root of 290
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* List of Perfect Cubes