Here we will show you step-by-step how to simplify the cube root of 106. Before we continue, note that the cube root of 106 can be written as follows:
∛106
The ∛ symbol is called the radical sign. To simplify the cube root of 106 means to get the simplest radical form of ∛106.
We start by listing the factors of 106 like so:
1, 2, 53, and 106
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 106 cannot be simplified.
Although we cannot simplify the cube root of 106, we did enter the cube root of 106 into our calculator and got the following answer to the cube root of 106 in decimal form:
∛106 ≈ 4.7326
You may also be interested to know that you can write the cube root of 106 with an exponent instead of a radical like this:
∛106 = 106⅓
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Simplify Cube Root of 107
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* List of Perfect Cubes
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