Simplify Cube Root of 7684

Here we will show you step-by-step how to simplify the cube root of 7684. Before we continue, note that the cube root of 7684 can be written as follows:

∛7684

The ∛ symbol is called the radical sign. To simplify the cube root of 7684 means to get the simplest radical form of ∛7684.

We start by listing the factors of 7684 like so:

1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, and 7684

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 7684 cannot be simplified.

Although we cannot simplify the cube root of 7684, we did enter the cube root of 7684 into our calculator and got the following answer to the cube root of 7684 in decimal form:

∛7684 ≈ 19.7331

You may also be interested to know that you can write the cube root of 7684 with an exponent instead of a radical like this:

∛7684 = 7684^⅓

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* List of Perfect Cubes