Simplify Cube Root of 102

Here we will show you step-by-step how to simplify the cube root of 102. Before we continue, note that the cube root of 102 can be written as follows:

∛102

The ∛ symbol is called the radical sign. To simplify the cube root of 102 means to get the simplest radical form of ∛102.

We start by listing the factors of 102 like so:

1, 2, 3, 6, 17, 34, 51, and 102

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 102 cannot be simplified.

Although we cannot simplify the cube root of 102, we did enter the cube root of 102 into our calculator and got the following answer to the cube root of 102 in decimal form:

∛102 ≈ 4.6723

You may also be interested to know that you can write the cube root of 102 with an exponent instead of a radical like this:

∛102 = 102^⅓

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Simplify Cube Root of 103
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* List of Perfect Cubes