Here we will show you step-by-step how to simplify the cube root of 475. Before we continue, note that the cube root of 475 can be written as follows:
∛475
The ∛ symbol is called the radical sign. To simplify the cube root of 475 means to get the simplest radical form of ∛475.
We start by listing the factors of 475 like so:
1, 5, 19, 25, 95, and 475
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 475 cannot be simplified.
Although we cannot simplify the cube root of 475, we did enter the cube root of 475 into our calculator and got the following answer to the cube root of 475 in decimal form:
∛475 ≈ 7.8025
You may also be interested to know that you can write the cube root of 475 with an exponent instead of a radical like this:
∛475 = 475⅓
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Simplify Cube Root of 476
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* List of Perfect Cubes
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