Simplify Cube Root of 340

Here we will show you step-by-step how to simplify the cube root of 340. Before we continue, note that the cube root of 340 can be written as follows:

∛340

The ∛ symbol is called the radical sign. To simplify the cube root of 340 means to get the simplest radical form of ∛340.

We start by listing the factors of 340 like so:

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340

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 340 cannot be simplified.

Although we cannot simplify the cube root of 340, we did enter the cube root of 340 into our calculator and got the following answer to the cube root of 340 in decimal form:

∛340 ≈ 6.9795

You may also be interested to know that you can write the cube root of 340 with an exponent instead of a radical like this:

∛340 = 340^⅓

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Simplify Cube Root of 341
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* List of Perfect Cubes