Simplify Cube Root of 7638

Here we will show you step-by-step how to simplify the cube root of 7638. Before we continue, note that the cube root of 7638 can be written as follows:

∛7638

The ∛ symbol is called the radical sign. To simplify the cube root of 7638 means to get the simplest radical form of ∛7638.

We start by listing the factors of 7638 like so:

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, and 7638

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 7638 cannot be simplified.

Although we cannot simplify the cube root of 7638, we did enter the cube root of 7638 into our calculator and got the following answer to the cube root of 7638 in decimal form:

∛7638 ≈ 19.6937

You may also be interested to know that you can write the cube root of 7638 with an exponent instead of a radical like this:

∛7638 = 7638^⅓

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Simplify Cube Root of 7639
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* List of Perfect Cubes