Simplify Cube Root of 9782

Here we will show you step-by-step how to simplify the cube root of 9782. Before we continue, note that the cube root of 9782 can be written as follows:

∛9782

The ∛ symbol is called the radical sign. To simplify the cube root of 9782 means to get the simplest radical form of ∛9782.

We start by listing the factors of 9782 like so:

1, 2, 67, 73, 134, 146, 4891, and 9782

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 9782 cannot be simplified.

Although we cannot simplify the cube root of 9782, we did enter the cube root of 9782 into our calculator and got the following answer to the cube root of 9782 in decimal form:

∛9782 ≈ 21.3866

You may also be interested to know that you can write the cube root of 9782 with an exponent instead of a radical like this:

∛9782 = 9782^⅓

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* List of Perfect Cubes