Simplify Cube Root of 9724

Here we will show you step-by-step how to simplify the cube root of 9724. Before we continue, note that the cube root of 9724 can be written as follows:

∛9724

The ∛ symbol is called the radical sign. To simplify the cube root of 9724 means to get the simplest radical form of ∛9724.

We start by listing the factors of 9724 like so:

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, and 9724

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 9724 cannot be simplified.

Although we cannot simplify the cube root of 9724, we did enter the cube root of 9724 into our calculator and got the following answer to the cube root of 9724 in decimal form:

∛9724 ≈ 21.3443

You may also be interested to know that you can write the cube root of 9724 with an exponent instead of a radical like this:

∛9724 = 9724^⅓

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* List of Perfect Cubes