Simplify Cube Root of 3675

Here we will show you step-by-step how to simplify the cube root of 3675. Before we continue, note that the cube root of 3675 can be written as follows:

∛3675

The ∛ symbol is called the radical sign. To simplify the cube root of 3675 means to get the simplest radical form of ∛3675.

We start by listing the factors of 3675 like so:

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, and 3675

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 3675 cannot be simplified.

Although we cannot simplify the cube root of 3675, we did enter the cube root of 3675 into our calculator and got the following answer to the cube root of 3675 in decimal form:

∛3675 ≈ 15.4319

You may also be interested to know that you can write the cube root of 3675 with an exponent instead of a radical like this:

∛3675 = 3675^⅓

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Simplify Cube Root of 3676
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* List of Perfect Cubes