Here we will explain how to simplify the cube root of 2133 (∛2133). We start by labeling the parts of ∛2133 so it is easy to follow along:
∛2133 = 1∛2133 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 2133 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 2133, we first find the greatest perfect cube from the list of factors of 2133. The factors of 2133 are 1, 3, 9, 27, 79, 237, 711, and 2133.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 27 (3 times 3 times 3 equals 27).
To find the simplified radicand (r) in the cube root of 2133, we divide 2133 by 27, which gives us 79.
To find the simplified coefficient of the radical (c) in the cube root of 2133, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 2133. Therefore, the cube root of 2133 in its simplest radical form is as follows:
∛2133 = 3∛79
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