Simplify Cube Root of 313

Here we will show you step-by-step how to simplify the cube root of 313. Before we continue, note that the cube root of 313 can be written as follows:

∛313

The ∛ symbol is called the radical sign. To simplify the cube root of 313 means to get the simplest radical form of ∛313.

We start by listing the factors of 313 like so:

1 and 313

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 313 cannot be simplified.

Although we cannot simplify the cube root of 313, we did enter the cube root of 313 into our calculator and got the following answer to the cube root of 313 in decimal form:

∛313 ≈ 6.7897

You may also be interested to know that you can write the cube root of 313 with an exponent instead of a radical like this:

∛313 = 313^⅓

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* List of Perfect Cubes