Simplify Cube Root of 1681

Here we will show you step-by-step how to simplify the cube root of 1681. Before we continue, note that the cube root of 1681 can be written as follows:

∛1681

The ∛ symbol is called the radical sign. To simplify the cube root of 1681 means to get the simplest radical form of ∛1681.

We start by listing the factors of 1681 like so:

1, 41, and 1681

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 1681 cannot be simplified.

Although we cannot simplify the cube root of 1681, we did enter the cube root of 1681 into our calculator and got the following answer to the cube root of 1681 in decimal form:

∛1681 ≈ 11.8902

You may also be interested to know that you can write the cube root of 1681 with an exponent instead of a radical like this:

∛1681 = 1681^⅓

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Simplify Cube Root of 1682
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* List of Perfect Cubes