Here we will show you step-by-step how to simplify the cube root of 166. Before we continue, note that the cube root of 166 can be written as follows:
∛166
The ∛ symbol is called the radical sign. To simplify the cube root of 166 means to get the simplest radical form of ∛166.
We start by listing the factors of 166 like so:
1, 2, 83, and 166
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 166 cannot be simplified.
Although we cannot simplify the cube root of 166, we did enter the cube root of 166 into our calculator and got the following answer to the cube root of 166 in decimal form:
∛166 ≈ 5.4959
You may also be interested to know that you can write the cube root of 166 with an exponent instead of a radical like this:
∛166 = 166⅓
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Simplify Cube Root of 167
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* List of Perfect Cubes
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