Here we will explain how to simplify the cube root of 14192 (∛14192). We start by labeling the parts of ∛14192 so it is easy to follow along:
∛14192 = 1∛14192 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 14192 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 14192, we first find the greatest perfect cube from the list of factors of 14192. The factors of 14192 are 1, 2, 4, 8, 16, 887, 1774, 3548, 7096, and 14192.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 8 (2 times 2 times 2 equals 8).
To find the simplified radicand (r) in the cube root of 14192, we divide 14192 by 8, which gives us 1774.
To find the simplified coefficient of the radical (c) in the cube root of 14192, we take the cube root of 8, which gives us 2.
That is how you simplify the cube root of 14192. Therefore, the cube root of 14192 in its simplest radical form is as follows:
∛14192 = 2∛1774
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