Simplify Cube Root of 45

Here we will show you step-by-step how to simplify the cube root of 45. Before we continue, note that the cube root of 45 can be written as follows:

∛45

The ∛ symbol is called the radical sign. To simplify the cube root of 45 means to get the simplest radical form of ∛45.

We start by listing the factors of 45 like so:

1, 3, 5, 9, 15, and 45

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 45 cannot be simplified.

Although we cannot simplify the cube root of 45, we did enter the cube root of 45 into our calculator and got the following answer to the cube root of 45 in decimal form:

∛45 ≈ 3.5569

You may also be interested to know that you can write the cube root of 45 with an exponent instead of a radical like this:

∛45 = 45^⅓

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Simplify Cube Root of 46
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* List of Perfect Cubes