Here we will explain how to simplify the cube root of 3492 (∛3492). We start by labeling the parts of ∛3492 so it is easy to follow along:
∛3492 = 1∛3492 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 3492 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 3492, we first find the greatest perfect cube from the list of factors of 3492. The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, and 3492.
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 3492, we divide 3492 by 1, which gives us 3492.
To find the simplified coefficient of the radical (c) in the cube root of 3492, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 3492. Therefore, the cube root of 3492 in its simplest radical form is as follows:
∛3492 = ∛3492
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