Simplify Cube Root of 546

Here we will show you step-by-step how to simplify the cube root of 546. Before we continue, note that the cube root of 546 can be written as follows:

∛546

The ∛ symbol is called the radical sign. To simplify the cube root of 546 means to get the simplest radical form of ∛546.

We start by listing the factors of 546 like so:

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, and 546

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 546 cannot be simplified.

Although we cannot simplify the cube root of 546, we did enter the cube root of 546 into our calculator and got the following answer to the cube root of 546 in decimal form:

∛546 ≈ 8.1733

You may also be interested to know that you can write the cube root of 546 with an exponent instead of a radical like this:

∛546 = 546^⅓

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Simplify Cube Root of 547
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* List of Perfect Cubes