Simplify Cube Root of 8475

Here we will show you step-by-step how to simplify the cube root of 8475. Before we continue, note that the cube root of 8475 can be written as follows:

∛8475

The ∛ symbol is called the radical sign. To simplify the cube root of 8475 means to get the simplest radical form of ∛8475.

We start by listing the factors of 8475 like so:

1, 3, 5, 15, 25, 75, 113, 339, 565, 1695, 2825, and 8475

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 8475 cannot be simplified.

Although we cannot simplify the cube root of 8475, we did enter the cube root of 8475 into our calculator and got the following answer to the cube root of 8475 in decimal form:

∛8475 ≈ 20.3882

You may also be interested to know that you can write the cube root of 8475 with an exponent instead of a radical like this:

∛8475 = 8475^⅓

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* List of Perfect Cubes