Here we will show you step-by-step how to simplify the cube root of 478. Before we continue, note that the cube root of 478 can be written as follows:
∛478
The ∛ symbol is called the radical sign. To simplify the cube root of 478 means to get the simplest radical form of ∛478.
We start by listing the factors of 478 like so:
1, 2, 239, and 478
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 478 cannot be simplified.
Although we cannot simplify the cube root of 478, we did enter the cube root of 478 into our calculator and got the following answer to the cube root of 478 in decimal form:
∛478 ≈ 7.8188
You may also be interested to know that you can write the cube root of 478 with an exponent instead of a radical like this:
∛478 = 478⅓
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Simplify Cube Root of 479
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* List of Perfect Cubes
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