Here we will explain how to simplify the cube root of 12876 (∛12876). We start by labeling the parts of ∛12876 so it is easy to follow along:
∛12876 = 1∛12876 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 12876 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 12876, we first find the greatest perfect cube from the list of factors of 12876. The factors of 12876 are 1, 2, 3, 4, 6, 12, 29, 37, 58, 74, 87, 111, 116, 148, 174, 222, 348, 444, 1073, 2146, 3219, 4292, 6438, and 12876.
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 12876, we divide 12876 by 1, which gives us 12876.
To find the simplified coefficient of the radical (c) in the cube root of 12876, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 12876. Therefore, the cube root of 12876 in its simplest radical form is as follows:
∛12876 = ∛12876
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