Simplify Cube Root of 7813

Here we will show you step-by-step how to simplify the cube root of 7813. Before we continue, note that the cube root of 7813 can be written as follows:

∛7813

The ∛ symbol is called the radical sign. To simplify the cube root of 7813 means to get the simplest radical form of ∛7813.

We start by listing the factors of 7813 like so:

1, 13, 601, and 7813

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 7813 cannot be simplified.

Although we cannot simplify the cube root of 7813, we did enter the cube root of 7813 into our calculator and got the following answer to the cube root of 7813 in decimal form:

∛7813 ≈ 19.8429

You may also be interested to know that you can write the cube root of 7813 with an exponent instead of a radical like this:

∛7813 = 7813^⅓

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* List of Perfect Cubes