Simplify Cube Root of 427

Here we will show you step-by-step how to simplify the cube root of 427. Before we continue, note that the cube root of 427 can be written as follows:

∛427

The ∛ symbol is called the radical sign. To simplify the cube root of 427 means to get the simplest radical form of ∛427.

We start by listing the factors of 427 like so:

1, 7, 61, and 427

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 427 cannot be simplified.

Although we cannot simplify the cube root of 427, we did enter the cube root of 427 into our calculator and got the following answer to the cube root of 427 in decimal form:

∛427 ≈ 7.5302

You may also be interested to know that you can write the cube root of 427 with an exponent instead of a radical like this:

∛427 = 427^⅓

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Simplify Cube Root of 428
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* List of Perfect Cubes