Simplify Cube Root of 420

Here we will show you step-by-step how to simplify the cube root of 420. Before we continue, note that the cube root of 420 can be written as follows:

∛420

The ∛ symbol is called the radical sign. To simplify the cube root of 420 means to get the simplest radical form of ∛420.

We start by listing the factors of 420 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, and 420

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 420 cannot be simplified.

Although we cannot simplify the cube root of 420, we did enter the cube root of 420 into our calculator and got the following answer to the cube root of 420 in decimal form:

∛420 ≈ 7.4889

You may also be interested to know that you can write the cube root of 420 with an exponent instead of a radical like this:

∛420 = 420^⅓

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Simplify Cube Root of 421
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* List of Perfect Cubes