Simplify Cube Root of 630

Here we will show you step-by-step how to simplify the cube root of 630. Before we continue, note that the cube root of 630 can be written as follows:

∛630

The ∛ symbol is called the radical sign. To simplify the cube root of 630 means to get the simplest radical form of ∛630.

We start by listing the factors of 630 like so:

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, and 630

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 630 cannot be simplified.

Although we cannot simplify the cube root of 630, we did enter the cube root of 630 into our calculator and got the following answer to the cube root of 630 in decimal form:

∛630 ≈ 8.5726

You may also be interested to know that you can write the cube root of 630 with an exponent instead of a radical like this:

∛630 = 630^⅓

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* List of Perfect Cubes