Here we will show you step-by-step how to simplify the cube root of 100. Before we continue, note that the cube root of 100 can be written as follows:
∛100
The ∛ symbol is called the radical sign. To simplify the cube root of 100 means to get the simplest radical form of ∛100.
We start by listing the factors of 100 like so:
1, 2, 4, 5, 10, 20, 25, 50, and 100
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 100 cannot be simplified.
Although we cannot simplify the cube root of 100, we did enter the cube root of 100 into our calculator and got the following answer to the cube root of 100 in decimal form:
∛100 ≈ 4.6416
You may also be interested to know that you can write the cube root of 100 with an exponent instead of a radical like this:
∛100 = 100⅓
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Simplify Cube Root of 101
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* List of Perfect Cubes
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