Simplify Cube Root of 1071

Here we will show you step-by-step how to simplify the cube root of 1071. Before we continue, note that the cube root of 1071 can be written as follows:

∛1071

The ∛ symbol is called the radical sign. To simplify the cube root of 1071 means to get the simplest radical form of ∛1071.

We start by listing the factors of 1071 like so:

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, and 1071

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 1071 cannot be simplified.

Although we cannot simplify the cube root of 1071, we did enter the cube root of 1071 into our calculator and got the following answer to the cube root of 1071 in decimal form:

∛1071 ≈ 10.2313

You may also be interested to know that you can write the cube root of 1071 with an exponent instead of a radical like this:

∛1071 = 1071^⅓

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Simplify Cube Root of 1072
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* List of Perfect Cubes