Here we will explain how to simplify the cube root of 1290 (∛1290). We start by labeling the parts of ∛1290 so it is easy to follow along:
∛1290 = 1∛1290 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 1290 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 1290, we first find the greatest perfect cube from the list of factors of 1290. The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, and 1290.
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 1290, we divide 1290 by 1, which gives us 1290.
To find the simplified coefficient of the radical (c) in the cube root of 1290, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 1290. Therefore, the cube root of 1290 in its simplest radical form is as follows:
∛1290 = ∛1290
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