Simplify Cube Root of 4758

Here we will show you step-by-step how to simplify the cube root of 4758. Before we continue, note that the cube root of 4758 can be written as follows:

∛4758

The ∛ symbol is called the radical sign. To simplify the cube root of 4758 means to get the simplest radical form of ∛4758.

We start by listing the factors of 4758 like so:

1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, and 4758

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 4758 cannot be simplified.

Although we cannot simplify the cube root of 4758, we did enter the cube root of 4758 into our calculator and got the following answer to the cube root of 4758 in decimal form:

∛4758 ≈ 16.8193

You may also be interested to know that you can write the cube root of 4758 with an exponent instead of a radical like this:

∛4758 = 4758^⅓

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Simplify Cube Root of 4759
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* List of Perfect Cubes