Simplify Cube Root of 820

Here we will show you step-by-step how to simplify the cube root of 820. Before we continue, note that the cube root of 820 can be written as follows:

∛820

The ∛ symbol is called the radical sign. To simplify the cube root of 820 means to get the simplest radical form of ∛820.

We start by listing the factors of 820 like so:

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, and 820

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 820 cannot be simplified.

Although we cannot simplify the cube root of 820, we did enter the cube root of 820 into our calculator and got the following answer to the cube root of 820 in decimal form:

∛820 ≈ 9.3599

You may also be interested to know that you can write the cube root of 820 with an exponent instead of a radical like this:

∛820 = 820^⅓

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* List of Perfect Cubes