
Here we will show you step-by-step how to simplify the cube root of 705. Before we continue, note that the cube root of 705 can be written as follows:
∛705
The ∛ symbol is called the radical sign. To simplify the cube root of 705 means to get the simplest radical form of ∛705.
We start by listing the factors of 705 like so:
1, 3, 5, 15, 47, 141, 235, and 705
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 705 cannot be simplified.
Although we cannot simplify the cube root of 705, we did enter the cube root of 705 into our calculator and got the following answer to the cube root of 705 in decimal form:
∛705 ≈ 8.9001
You may also be interested to know that you can write the cube root of 705 with an exponent instead of a radical like this:
∛705 = 705⅓
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Simplify Cube Root of 706
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* List of Perfect Cubes
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