Simplify Cube Root of 7876

Here we will show you step-by-step how to simplify the cube root of 7876. Before we continue, note that the cube root of 7876 can be written as follows:

∛7876

The ∛ symbol is called the radical sign. To simplify the cube root of 7876 means to get the simplest radical form of ∛7876.

We start by listing the factors of 7876 like so:

1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, and 7876

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 7876 cannot be simplified.

Although we cannot simplify the cube root of 7876, we did enter the cube root of 7876 into our calculator and got the following answer to the cube root of 7876 in decimal form:

∛7876 ≈ 19.8961

You may also be interested to know that you can write the cube root of 7876 with an exponent instead of a radical like this:

∛7876 = 7876^⅓

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* List of Perfect Cubes