Simplify Cube Root of 6825

Here we will show you step-by-step how to simplify the cube root of 6825. Before we continue, note that the cube root of 6825 can be written as follows:

∛6825

The ∛ symbol is called the radical sign. To simplify the cube root of 6825 means to get the simplest radical form of ∛6825.

We start by listing the factors of 6825 like so:

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, and 6825

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 6825 cannot be simplified.

Although we cannot simplify the cube root of 6825, we did enter the cube root of 6825 into our calculator and got the following answer to the cube root of 6825 in decimal form:

∛6825 ≈ 18.9686

You may also be interested to know that you can write the cube root of 6825 with an exponent instead of a radical like this:

∛6825 = 6825^⅓

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Simplify Cube Root of 6826
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* List of Perfect Cubes