Here we will explain how to simplify the cube root of 22237 (∛22237). We start by labeling the parts of ∛22237 so it is easy to follow along:
∛22237 = 1∛22237 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 22237 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 22237, we first find the greatest perfect cube from the list of factors of 22237. The factors of 22237 are 1, 37, 601, and 22237.
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 22237, we divide 22237 by 1, which gives us 22237.
To find the simplified coefficient of the radical (c) in the cube root of 22237, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 22237. Therefore, the cube root of 22237 in its simplest radical form is as follows:
∛22237 = ∛22237
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