Simplify Cube Root of 7071

Here we will show you step-by-step how to simplify the cube root of 7071. Before we continue, note that the cube root of 7071 can be written as follows:

∛7071

The ∛ symbol is called the radical sign. To simplify the cube root of 7071 means to get the simplest radical form of ∛7071.

We start by listing the factors of 7071 like so:

1, 3, 2357, and 7071

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 7071 cannot be simplified.

Although we cannot simplify the cube root of 7071, we did enter the cube root of 7071 into our calculator and got the following answer to the cube root of 7071 in decimal form:

∛7071 ≈ 19.1938

You may also be interested to know that you can write the cube root of 7071 with an exponent instead of a radical like this:

∛7071 = 7071^⅓

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Simplify Cube Root of 7072
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* List of Perfect Cubes