Simplify Cube Root of 5642

Here we will show you step-by-step how to simplify the cube root of 5642. Before we continue, note that the cube root of 5642 can be written as follows:

∛5642

The ∛ symbol is called the radical sign. To simplify the cube root of 5642 means to get the simplest radical form of ∛5642.

We start by listing the factors of 5642 like so:

1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821, and 5642

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 5642 cannot be simplified.

Although we cannot simplify the cube root of 5642, we did enter the cube root of 5642 into our calculator and got the following answer to the cube root of 5642 in decimal form:

∛5642 ≈ 17.8024

You may also be interested to know that you can write the cube root of 5642 with an exponent instead of a radical like this:

∛5642 = 5642^⅓

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Simplify Cube Root of 5643
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* List of Perfect Cubes