Here we will explain how to simplify the cube root of 818 (∛818). We start by labeling the parts of ∛818 so it is easy to follow along:
∛818 = 1∛818 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 818 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 818, we first find the greatest perfect cube from the list of factors of 818. The factors of 818 are 1, 2, 409, and 818.
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 818, we divide 818 by 1, which gives us 818.
To find the simplified coefficient of the radical (c) in the cube root of 818, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 818. Therefore, the cube root of 818 in its simplest radical form is as follows:
∛818 = ∛818
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