Simplify Cube Root of 495

Here we will show you step-by-step how to simplify the cube root of 495. Before we continue, note that the cube root of 495 can be written as follows:

∛495

The ∛ symbol is called the radical sign. To simplify the cube root of 495 means to get the simplest radical form of ∛495.

We start by listing the factors of 495 like so:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495

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 495 cannot be simplified.

Although we cannot simplify the cube root of 495, we did enter the cube root of 495 into our calculator and got the following answer to the cube root of 495 in decimal form:

∛495 ≈ 7.9105

You may also be interested to know that you can write the cube root of 495 with an exponent instead of a radical like this:

∛495 = 495^⅓

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Simplify Cube Root of 496
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* List of Perfect Cubes