Simplify Cube Root of 802

Here we will show you step-by-step how to simplify the cube root of 802. Before we continue, note that the cube root of 802 can be written as follows:

∛802

The ∛ symbol is called the radical sign. To simplify the cube root of 802 means to get the simplest radical form of ∛802.

We start by listing the factors of 802 like so:

1, 2, 401, and 802

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 802 cannot be simplified.

Although we cannot simplify the cube root of 802, we did enter the cube root of 802 into our calculator and got the following answer to the cube root of 802 in decimal form:

∛802 ≈ 9.2909

You may also be interested to know that you can write the cube root of 802 with an exponent instead of a radical like this:

∛802 = 802^⅓

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* List of Perfect Cubes