Here we will explain how to simplify the cube root of 68107 (∛68107). We start by labeling the parts of ∛68107 so it is easy to follow along:
∛68107 = 1∛68107 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 68107 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 68107, we first find the greatest perfect cube from the list of factors of 68107. The factors of 68107 are 1, 13, 31, 169, 403, 2197, 5239, and 68107.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 2197 (13 times 13 times 13 equals 2197).
To find the simplified radicand (r) in the cube root of 68107, we divide 68107 by 2197, which gives us 31.
To find the simplified coefficient of the radical (c) in the cube root of 68107, we take the cube root of 2197, which gives us 13.
That is how you simplify the cube root of 68107. Therefore, the cube root of 68107 in its simplest radical form is as follows:
∛68107 = 13∛31
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