Simplify Cube Root of 1407

Here we will show you step-by-step how to simplify the cube root of 1407. Before we continue, note that the cube root of 1407 can be written as follows:

∛1407

The ∛ symbol is called the radical sign. To simplify the cube root of 1407 means to get the simplest radical form of ∛1407.

We start by listing the factors of 1407 like so:

1, 3, 7, 21, 67, 201, 469, and 1407

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 1407 cannot be simplified.

Although we cannot simplify the cube root of 1407, we did enter the cube root of 1407 into our calculator and got the following answer to the cube root of 1407 in decimal form:

∛1407 ≈ 11.2055

You may also be interested to know that you can write the cube root of 1407 with an exponent instead of a radical like this:

∛1407 = 1407^⅓

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Simplify Cube Root of 1408
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* List of Perfect Cubes