Simplify Cube Root of 966

Here we will show you step-by-step how to simplify the cube root of 966. Before we continue, note that the cube root of 966 can be written as follows:

∛966

The ∛ symbol is called the radical sign. To simplify the cube root of 966 means to get the simplest radical form of ∛966.

We start by listing the factors of 966 like so:

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, and 966

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 966 cannot be simplified.

Although we cannot simplify the cube root of 966, we did enter the cube root of 966 into our calculator and got the following answer to the cube root of 966 in decimal form:

∛966 ≈ 9.8854

You may also be interested to know that you can write the cube root of 966 with an exponent instead of a radical like this:

∛966 = 966^⅓

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Simplify Cube Root of 967
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* List of Perfect Cubes