Simplify Cube Root of 469

Here we will show you step-by-step how to simplify the cube root of 469. Before we continue, note that the cube root of 469 can be written as follows:

∛469

The ∛ symbol is called the radical sign. To simplify the cube root of 469 means to get the simplest radical form of ∛469.

We start by listing the factors of 469 like so:

1, 7, 67, and 469

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 469 cannot be simplified.

Although we cannot simplify the cube root of 469, we did enter the cube root of 469 into our calculator and got the following answer to the cube root of 469 in decimal form:

∛469 ≈ 7.7695

You may also be interested to know that you can write the cube root of 469 with an exponent instead of a radical like this:

∛469 = 469^⅓

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Simplify Cube Root of 470
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* List of Perfect Cubes