Simplify Cube Root of 7066

Here we will show you step-by-step how to simplify the cube root of 7066. Before we continue, note that the cube root of 7066 can be written as follows:

∛7066

The ∛ symbol is called the radical sign. To simplify the cube root of 7066 means to get the simplest radical form of ∛7066.

We start by listing the factors of 7066 like so:

1, 2, 3533, and 7066

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 7066 cannot be simplified.

Although we cannot simplify the cube root of 7066, we did enter the cube root of 7066 into our calculator and got the following answer to the cube root of 7066 in decimal form:

∛7066 ≈ 19.1892

You may also be interested to know that you can write the cube root of 7066 with an exponent instead of a radical like this:

∛7066 = 7066^⅓

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Simplify Cube Root of 7067
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* List of Perfect Cubes