Here we will explain how to simplify the cube root of 13233 (∛13233). We start by labeling the parts of ∛13233 so it is easy to follow along:
∛13233 = 1∛13233 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 13233 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 13233, we first find the greatest perfect cube from the list of factors of 13233. The factors of 13233 are 1, 3, 11, 33, 401, 1203, 4411, and 13233.
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 13233, we divide 13233 by 1, which gives us 13233.
To find the simplified coefficient of the radical (c) in the cube root of 13233, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 13233. Therefore, the cube root of 13233 in its simplest radical form is as follows:
∛13233 = ∛13233
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