Simplify Cube Root of 1506

Here we will show you step-by-step how to simplify the cube root of 1506. Before we continue, note that the cube root of 1506 can be written as follows:

∛1506

The ∛ symbol is called the radical sign. To simplify the cube root of 1506 means to get the simplest radical form of ∛1506.

We start by listing the factors of 1506 like so:

1, 2, 3, 6, 251, 502, 753, and 1506

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 1506 cannot be simplified.

Although we cannot simplify the cube root of 1506, we did enter the cube root of 1506 into our calculator and got the following answer to the cube root of 1506 in decimal form:

∛1506 ≈ 11.4624

You may also be interested to know that you can write the cube root of 1506 with an exponent instead of a radical like this:

∛1506 = 1506^⅓

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Simplify Cube Root of 1507
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* List of Perfect Cubes