Simplify Cube Root of 63

Here we will show you step-by-step how to simplify the cube root of 63. Before we continue, note that the cube root of 63 can be written as follows:

∛63

The ∛ symbol is called the radical sign. To simplify the cube root of 63 means to get the simplest radical form of ∛63.

We start by listing the factors of 63 like so:

1, 3, 7, 9, 21, and 63

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 63 cannot be simplified.

Although we cannot simplify the cube root of 63, we did enter the cube root of 63 into our calculator and got the following answer to the cube root of 63 in decimal form:

∛63 ≈ 3.9791

You may also be interested to know that you can write the cube root of 63 with an exponent instead of a radical like this:

∛63 = 63^⅓

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Simplify Cube Root of 64
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* List of Perfect Cubes