Here we will show you step-by-step how to simplify the cube root of 205. Before we continue, note that the cube root of 205 can be written as follows:
∛205
The ∛ symbol is called the radical sign. To simplify the cube root of 205 means to get the simplest radical form of ∛205.
We start by listing the factors of 205 like so:
1, 5, 41, and 205
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 205 cannot be simplified.
Although we cannot simplify the cube root of 205, we did enter the cube root of 205 into our calculator and got the following answer to the cube root of 205 in decimal form:
∛205 ≈ 5.8964
You may also be interested to know that you can write the cube root of 205 with an exponent instead of a radical like this:
∛205 = 205⅓
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Simplify Cube Root of 206
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* List of Perfect Cubes
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