Here we will explain how to simplify the cube root of 13682 (∛13682). We start by labeling the parts of ∛13682 so it is easy to follow along:
∛13682 = 1∛13682 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 13682 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 13682, we first find the greatest perfect cube from the list of factors of 13682. The factors of 13682 are 1, 2, 6841, and 13682.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 1 (1 times 1 times 1 equals 1).
To find the simplified radicand (r) in the cube root of 13682, we divide 13682 by 1, which gives us 13682.
To find the simplified coefficient of the radical (c) in the cube root of 13682, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 13682. Therefore, the cube root of 13682 in its simplest radical form is as follows:
∛13682 = ∛13682
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