Simplify Cube Root of 4575

Here we will show you step-by-step how to simplify the cube root of 4575. Before we continue, note that the cube root of 4575 can be written as follows:

∛4575

The ∛ symbol is called the radical sign. To simplify the cube root of 4575 means to get the simplest radical form of ∛4575.

We start by listing the factors of 4575 like so:

1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, and 4575

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 4575 cannot be simplified.

Although we cannot simplify the cube root of 4575, we did enter the cube root of 4575 into our calculator and got the following answer to the cube root of 4575 in decimal form:

∛4575 ≈ 16.6009

You may also be interested to know that you can write the cube root of 4575 with an exponent instead of a radical like this:

∛4575 = 4575^⅓

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* List of Perfect Cubes