Simplify Cube Root of 1604

Here we will show you step-by-step how to simplify the cube root of 1604. Before we continue, note that the cube root of 1604 can be written as follows:

∛1604

The ∛ symbol is called the radical sign. To simplify the cube root of 1604 means to get the simplest radical form of ∛1604.

We start by listing the factors of 1604 like so:

1, 2, 4, 401, 802, and 1604

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 1604 cannot be simplified.

Although we cannot simplify the cube root of 1604, we did enter the cube root of 1604 into our calculator and got the following answer to the cube root of 1604 in decimal form:

∛1604 ≈ 11.7058

You may also be interested to know that you can write the cube root of 1604 with an exponent instead of a radical like this:

∛1604 = 1604^⅓

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Simplify Cube Root of 1605
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* List of Perfect Cubes