Simplify Cube Root of 565

Here we will show you step-by-step how to simplify the cube root of 565. Before we continue, note that the cube root of 565 can be written as follows:

∛565

The ∛ symbol is called the radical sign. To simplify the cube root of 565 means to get the simplest radical form of ∛565.

We start by listing the factors of 565 like so:

1, 5, 113, and 565

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 565 cannot be simplified.

Although we cannot simplify the cube root of 565, we did enter the cube root of 565 into our calculator and got the following answer to the cube root of 565 in decimal form:

∛565 ≈ 8.2670

You may also be interested to know that you can write the cube root of 565 with an exponent instead of a radical like this:

∛565 = 565^⅓

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* List of Perfect Cubes