
Here we will show you step-by-step how to simplify the cube root of 4675. Before we continue, note that the cube root of 4675 can be written as follows:
∛4675
The ∛ symbol is called the radical sign. To simplify the cube root of 4675 means to get the simplest radical form of ∛4675.
We start by listing the factors of 4675 like so:
1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, and 4675
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 4675 cannot be simplified.
Although we cannot simplify the cube root of 4675, we did enter the cube root of 4675 into our calculator and got the following answer to the cube root of 4675 in decimal form:
∛4675 ≈ 16.7209
You may also be interested to know that you can write the cube root of 4675 with an exponent instead of a radical like this:
∛4675 = 4675⅓
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* List of Perfect Cubes
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