Simplify Cube Root of 3460

Here we will show you step-by-step how to simplify the cube root of 3460. Before we continue, note that the cube root of 3460 can be written as follows:

∛3460

The ∛ symbol is called the radical sign. To simplify the cube root of 3460 means to get the simplest radical form of ∛3460.

We start by listing the factors of 3460 like so:

1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, and 3460

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 3460 cannot be simplified.

Although we cannot simplify the cube root of 3460, we did enter the cube root of 3460 into our calculator and got the following answer to the cube root of 3460 in decimal form:

∛3460 ≈ 15.1249

You may also be interested to know that you can write the cube root of 3460 with an exponent instead of a radical like this:

∛3460 = 3460^⅓

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* List of Perfect Cubes