Simplify Cube Root of 9628

Here we will show you step-by-step how to simplify the cube root of 9628. Before we continue, note that the cube root of 9628 can be written as follows:

∛9628

The ∛ symbol is called the radical sign. To simplify the cube root of 9628 means to get the simplest radical form of ∛9628.

We start by listing the factors of 9628 like so:

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, and 9628

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 9628 cannot be simplified.

Although we cannot simplify the cube root of 9628, we did enter the cube root of 9628 into our calculator and got the following answer to the cube root of 9628 in decimal form:

∛9628 ≈ 21.2738

You may also be interested to know that you can write the cube root of 9628 with an exponent instead of a radical like this:

∛9628 = 9628^⅓

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Simplify Cube Root of 9629
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* List of Perfect Cubes