Simplify Cube Root of 342

Here we will show you step-by-step how to simplify the cube root of 342. Before we continue, note that the cube root of 342 can be written as follows:

∛342

The ∛ symbol is called the radical sign. To simplify the cube root of 342 means to get the simplest radical form of ∛342.

We start by listing the factors of 342 like so:

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, and 342

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 342 cannot be simplified.

Although we cannot simplify the cube root of 342, we did enter the cube root of 342 into our calculator and got the following answer to the cube root of 342 in decimal form:

∛342 ≈ 6.9932

You may also be interested to know that you can write the cube root of 342 with an exponent instead of a radical like this:

∛342 = 342^⅓

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Simplify Cube Root of 343
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* List of Perfect Cubes