Simplify Cube Root of 465

Here we will show you step-by-step how to simplify the cube root of 465. Before we continue, note that the cube root of 465 can be written as follows:

∛465

The ∛ symbol is called the radical sign. To simplify the cube root of 465 means to get the simplest radical form of ∛465.

We start by listing the factors of 465 like so:

1, 3, 5, 15, 31, 93, 155, and 465

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 465 cannot be simplified.

Although we cannot simplify the cube root of 465, we did enter the cube root of 465 into our calculator and got the following answer to the cube root of 465 in decimal form:

∛465 ≈ 7.7473

You may also be interested to know that you can write the cube root of 465 with an exponent instead of a radical like this:

∛465 = 465^⅓

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Simplify Cube Root of 466
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* List of Perfect Cubes