Simplify Cube Root of 7645

Here we will show you step-by-step how to simplify the cube root of 7645. Before we continue, note that the cube root of 7645 can be written as follows:

∛7645

The ∛ symbol is called the radical sign. To simplify the cube root of 7645 means to get the simplest radical form of ∛7645.

We start by listing the factors of 7645 like so:

1, 5, 11, 55, 139, 695, 1529, and 7645

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 7645 cannot be simplified.

Although we cannot simplify the cube root of 7645, we did enter the cube root of 7645 into our calculator and got the following answer to the cube root of 7645 in decimal form:

∛7645 ≈ 19.6997

You may also be interested to know that you can write the cube root of 7645 with an exponent instead of a radical like this:

∛7645 = 7645^⅓

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Simplify Cube Root of 7646
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* List of Perfect Cubes