Simplify Cube Root of 105

Here we will show you step-by-step how to simplify the cube root of 105. Before we continue, note that the cube root of 105 can be written as follows:

∛105

The ∛ symbol is called the radical sign. To simplify the cube root of 105 means to get the simplest radical form of ∛105.

We start by listing the factors of 105 like so:

1, 3, 5, 7, 15, 21, 35, and 105

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 105 cannot be simplified.

Although we cannot simplify the cube root of 105, we did enter the cube root of 105 into our calculator and got the following answer to the cube root of 105 in decimal form:

∛105 ≈ 4.7177

You may also be interested to know that you can write the cube root of 105 with an exponent instead of a radical like this:

∛105 = 105^⅓

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Simplify Cube Root of 106
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* List of Perfect Cubes