Simplify Cube Root of 7628

Here we will show you step-by-step how to simplify the cube root of 7628. Before we continue, note that the cube root of 7628 can be written as follows:

∛7628

The ∛ symbol is called the radical sign. To simplify the cube root of 7628 means to get the simplest radical form of ∛7628.

We start by listing the factors of 7628 like so:

1, 2, 4, 1907, 3814, and 7628

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 7628 cannot be simplified.

Although we cannot simplify the cube root of 7628, we did enter the cube root of 7628 into our calculator and got the following answer to the cube root of 7628 in decimal form:

∛7628 ≈ 19.6851

You may also be interested to know that you can write the cube root of 7628 with an exponent instead of a radical like this:

∛7628 = 7628^⅓

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Simplify Cube Root of 7629
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* List of Perfect Cubes