Here we will explain how to simplify the cube root of 12398 (∛12398). We start by labeling the parts of ∛12398 so it is easy to follow along:
∛12398 = 1∛12398 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 12398 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 12398, we first find the greatest perfect cube from the list of factors of 12398. The factors of 12398 are 1, 2, 6199, and 12398.
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 12398, we divide 12398 by 1, which gives us 12398.
To find the simplified coefficient of the radical (c) in the cube root of 12398, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 12398. Therefore, the cube root of 12398 in its simplest radical form is as follows:
∛12398 = ∛12398
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