Simplify Cube Root of 7460

Here we will show you step-by-step how to simplify the cube root of 7460. Before we continue, note that the cube root of 7460 can be written as follows:

∛7460

The ∛ symbol is called the radical sign. To simplify the cube root of 7460 means to get the simplest radical form of ∛7460.

We start by listing the factors of 7460 like so:

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, and 7460

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 7460 cannot be simplified.

Although we cannot simplify the cube root of 7460, we did enter the cube root of 7460 into our calculator and got the following answer to the cube root of 7460 in decimal form:

∛7460 ≈ 19.5395

You may also be interested to know that you can write the cube root of 7460 with an exponent instead of a radical like this:

∛7460 = 7460^⅓

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* List of Perfect Cubes