Simplify Cube Root of 7966

Here we will show you step-by-step how to simplify the cube root of 7966. Before we continue, note that the cube root of 7966 can be written as follows:

∛7966

The ∛ symbol is called the radical sign. To simplify the cube root of 7966 means to get the simplest radical form of ∛7966.

We start by listing the factors of 7966 like so:

1, 2, 7, 14, 569, 1138, 3983, and 7966

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 7966 cannot be simplified.

Although we cannot simplify the cube root of 7966, we did enter the cube root of 7966 into our calculator and got the following answer to the cube root of 7966 in decimal form:

∛7966 ≈ 19.9716

You may also be interested to know that you can write the cube root of 7966 with an exponent instead of a radical like this:

∛7966 = 7966^⅓

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Simplify Cube Root of 7967
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* List of Perfect Cubes