Simplify Cube Root of 1764

Here we will show you step-by-step how to simplify the cube root of 1764. Before we continue, note that the cube root of 1764 can be written as follows:

∛1764

The ∛ symbol is called the radical sign. To simplify the cube root of 1764 means to get the simplest radical form of ∛1764.

We start by listing the factors of 1764 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, and 1764

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 1764 cannot be simplified.

Although we cannot simplify the cube root of 1764, we did enter the cube root of 1764 into our calculator and got the following answer to the cube root of 1764 in decimal form:

∛1764 ≈ 12.0828

You may also be interested to know that you can write the cube root of 1764 with an exponent instead of a radical like this:

∛1764 = 1764^⅓

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* List of Perfect Cubes