Simplify Cube Root of 345

Here we will show you step-by-step how to simplify the cube root of 345. Before we continue, note that the cube root of 345 can be written as follows:

∛345

The ∛ symbol is called the radical sign. To simplify the cube root of 345 means to get the simplest radical form of ∛345.

We start by listing the factors of 345 like so:

1, 3, 5, 15, 23, 69, 115, and 345

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 345 cannot be simplified.

Although we cannot simplify the cube root of 345, we did enter the cube root of 345 into our calculator and got the following answer to the cube root of 345 in decimal form:

∛345 ≈ 7.0136

You may also be interested to know that you can write the cube root of 345 with an exponent instead of a radical like this:

∛345 = 345^⅓

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Simplify Cube Root of 346
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* List of Perfect Cubes