Simplify Cube Root of 1633

Here we will show you step-by-step how to simplify the cube root of 1633. Before we continue, note that the cube root of 1633 can be written as follows:

∛1633

The ∛ symbol is called the radical sign. To simplify the cube root of 1633 means to get the simplest radical form of ∛1633.

We start by listing the factors of 1633 like so:

1, 23, 71, and 1633

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 1633 cannot be simplified.

Although we cannot simplify the cube root of 1633, we did enter the cube root of 1633 into our calculator and got the following answer to the cube root of 1633 in decimal form:

∛1633 ≈ 11.7759

You may also be interested to know that you can write the cube root of 1633 with an exponent instead of a radical like this:

∛1633 = 1633^⅓

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Simplify Cube Root of 1634
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* List of Perfect Cubes