Here we will explain how to simplify the cube root of 5286 (∛5286). We start by labeling the parts of ∛5286 so it is easy to follow along:
∛5286 = 1∛5286 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 5286 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 5286, we first find the greatest perfect cube from the list of factors of 5286. The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, and 5286.
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 5286, we divide 5286 by 1, which gives us 5286.
To find the simplified coefficient of the radical (c) in the cube root of 5286, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 5286. Therefore, the cube root of 5286 in its simplest radical form is as follows:
∛5286 = ∛5286
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