Simplify Cube Root of 343

Here we will show you step-by-step how to simplify the cube root of 343. Before we continue, note that the cube root of 343 can be written as follows:

∛343

The ∛ symbol is called the radical sign. To simplify the cube root of 343 means to get the simplest radical form of ∛343.

We start by listing the factors of 343 like so:

1, 7, 49, and 343

Next, we identify the perfect cubes* from the list of factors above:

1 and 343

Since 343 is on the list of perfect cubes above, it means that 343 is a perfect cube. 343 is a perfect cube because 7 times 7 times 7 equals 343.

That also means that you can simplify the cube root of 343 without the radical as follows:

∛343 = 7

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Simplify Cube Root of 344
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* List of Perfect Cubes