Simplify Cube Root of 1643

Here we will show you step-by-step how to simplify the cube root of 1643. Before we continue, note that the cube root of 1643 can be written as follows:

∛1643

The ∛ symbol is called the radical sign. To simplify the cube root of 1643 means to get the simplest radical form of ∛1643.

We start by listing the factors of 1643 like so:

1, 31, 53, and 1643

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 1643 cannot be simplified.

Although we cannot simplify the cube root of 1643, we did enter the cube root of 1643 into our calculator and got the following answer to the cube root of 1643 in decimal form:

∛1643 ≈ 11.7999

You may also be interested to know that you can write the cube root of 1643 with an exponent instead of a radical like this:

∛1643 = 1643^⅓

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Simplify Cube Root of 1644
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* List of Perfect Cubes