Simplify Cube Root of 7828

Here we will show you step-by-step how to simplify the cube root of 7828. Before we continue, note that the cube root of 7828 can be written as follows:

∛7828

The ∛ symbol is called the radical sign. To simplify the cube root of 7828 means to get the simplest radical form of ∛7828.

We start by listing the factors of 7828 like so:

1, 2, 4, 19, 38, 76, 103, 206, 412, 1957, 3914, and 7828

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 7828 cannot be simplified.

Although we cannot simplify the cube root of 7828, we did enter the cube root of 7828 into our calculator and got the following answer to the cube root of 7828 in decimal form:

∛7828 ≈ 19.8556

You may also be interested to know that you can write the cube root of 7828 with an exponent instead of a radical like this:

∛7828 = 7828^⅓

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Simplify Cube Root of 7829
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* List of Perfect Cubes