Here we will show you step-by-step how to simplify the cube root of 204. Before we continue, note that the cube root of 204 can be written as follows:
∛204
The ∛ symbol is called the radical sign. To simplify the cube root of 204 means to get the simplest radical form of ∛204.
We start by listing the factors of 204 like so:
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, and 204
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 204 cannot be simplified.
Although we cannot simplify the cube root of 204, we did enter the cube root of 204 into our calculator and got the following answer to the cube root of 204 in decimal form:
∛204 ≈ 5.8868
You may also be interested to know that you can write the cube root of 204 with an exponent instead of a radical like this:
∛204 = 204⅓
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Simplify Cube Root of 205
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* List of Perfect Cubes
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