Simplify Cube Root of 3380

Here we will show you step-by-step how to simplify the cube root of 3380. Before we continue, note that the cube root of 3380 can be written as follows:

∛3380

The ∛ symbol is called the radical sign. To simplify the cube root of 3380 means to get the simplest radical form of ∛3380.

We start by listing the factors of 3380 like so:

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, and 3380

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 3380 cannot be simplified.

Although we cannot simplify the cube root of 3380, we did enter the cube root of 3380 into our calculator and got the following answer to the cube root of 3380 in decimal form:

∛3380 ≈ 15.0074

You may also be interested to know that you can write the cube root of 3380 with an exponent instead of a radical like this:

∛3380 = 3380^⅓

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* List of Perfect Cubes