Here we will explain how to simplify the cube root of 13718 (∛13718). We start by labeling the parts of ∛13718 so it is easy to follow along:
∛13718 = 1∛13718 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 13718 in its simplest form means that you want the radicand to be as small as possible and the coefficient of the radical to be as large as possible.
To simplify the cube root of 13718, we first find the greatest perfect cube from the list of factors of 13718. The factors of 13718 are 1, 2, 19, 38, 361, 722, 6859, and 13718.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 6859 (19 times 19 times 19 equals 6859).
To find the simplified radicand (r) in the cube root of 13718, we divide 13718 by 6859, which gives us 2.
To find the simplified coefficient of the radical (c) in the cube root of 13718, we take the cube root of 6859, which gives us 19.
That is how you simplify the cube root of 13718. Therefore, the cube root of 13718 in its simplest radical form is as follows:
∛13718 = 19∛2
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