Simplify Cube Root of 1663

Here we will show you step-by-step how to simplify the cube root of 1663. Before we continue, note that the cube root of 1663 can be written as follows:

∛1663

The ∛ symbol is called the radical sign. To simplify the cube root of 1663 means to get the simplest radical form of ∛1663.

We start by listing the factors of 1663 like so:

1 and 1663

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 1663 cannot be simplified.

Although we cannot simplify the cube root of 1663, we did enter the cube root of 1663 into our calculator and got the following answer to the cube root of 1663 in decimal form:

∛1663 ≈ 11.8476

You may also be interested to know that you can write the cube root of 1663 with an exponent instead of a radical like this:

∛1663 = 1663^⅓

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Simplify Cube Root of 1664
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* List of Perfect Cubes