Simplify Cube Root of 261

Here we will show you step-by-step how to simplify the cube root of 261. Before we continue, note that the cube root of 261 can be written as follows:

∛261

The ∛ symbol is called the radical sign. To simplify the cube root of 261 means to get the simplest radical form of ∛261.

We start by listing the factors of 261 like so:

1, 3, 9, 29, 87, and 261

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 261 cannot be simplified.

Although we cannot simplify the cube root of 261, we did enter the cube root of 261 into our calculator and got the following answer to the cube root of 261 in decimal form:

∛261 ≈ 6.3907

You may also be interested to know that you can write the cube root of 261 with an exponent instead of a radical like this:

∛261 = 261^⅓

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* List of Perfect Cubes