Simplify Cube Root of 252

Here we will show you step-by-step how to simplify the cube root of 252. Before we continue, note that the cube root of 252 can be written as follows:

∛252

The ∛ symbol is called the radical sign. To simplify the cube root of 252 means to get the simplest radical form of ∛252.

We start by listing the factors of 252 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252

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 252 cannot be simplified.

Although we cannot simplify the cube root of 252, we did enter the cube root of 252 into our calculator and got the following answer to the cube root of 252 in decimal form:

∛252 ≈ 6.3164

You may also be interested to know that you can write the cube root of 252 with an exponent instead of a radical like this:

∛252 = 252^⅓

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Simplify Cube Root of 253
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* List of Perfect Cubes