Simplify Cube Root of 421

Here we will show you step-by-step how to simplify the cube root of 421. Before we continue, note that the cube root of 421 can be written as follows:

∛421

The ∛ symbol is called the radical sign. To simplify the cube root of 421 means to get the simplest radical form of ∛421.

We start by listing the factors of 421 like so:

1 and 421

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 421 cannot be simplified.

Although we cannot simplify the cube root of 421, we did enter the cube root of 421 into our calculator and got the following answer to the cube root of 421 in decimal form:

∛421 ≈ 7.4948

You may also be interested to know that you can write the cube root of 421 with an exponent instead of a radical like this:

∛421 = 421^⅓

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Simplify Cube Root of 422
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* List of Perfect Cubes