Simplify Cube Root of 7874

Here we will show you step-by-step how to simplify the cube root of 7874. Before we continue, note that the cube root of 7874 can be written as follows:

∛7874

The ∛ symbol is called the radical sign. To simplify the cube root of 7874 means to get the simplest radical form of ∛7874.

We start by listing the factors of 7874 like so:

1, 2, 31, 62, 127, 254, 3937, and 7874

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 7874 cannot be simplified.

Although we cannot simplify the cube root of 7874, we did enter the cube root of 7874 into our calculator and got the following answer to the cube root of 7874 in decimal form:

∛7874 ≈ 19.8944

You may also be interested to know that you can write the cube root of 7874 with an exponent instead of a radical like this:

∛7874 = 7874^⅓

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Simplify Cube Root of 7875
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* List of Perfect Cubes