Simplify Cube Root of 403

Here we will show you step-by-step how to simplify the cube root of 403. Before we continue, note that the cube root of 403 can be written as follows:

∛403

The ∛ symbol is called the radical sign. To simplify the cube root of 403 means to get the simplest radical form of ∛403.

We start by listing the factors of 403 like so:

1, 13, 31, and 403

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 403 cannot be simplified.

Although we cannot simplify the cube root of 403, we did enter the cube root of 403 into our calculator and got the following answer to the cube root of 403 in decimal form:

∛403 ≈ 7.3864

You may also be interested to know that you can write the cube root of 403 with an exponent instead of a radical like this:

∛403 = 403^⅓

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Simplify Cube Root of 404
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* List of Perfect Cubes