Here we will explain how to simplify the cube root of 3601 (∛3601). We start by labeling the parts of ∛3601 so it is easy to follow along:
∛3601 = 1∛3601 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 3601 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 3601, we first find the greatest perfect cube from the list of factors of 3601. The factors of 3601 are 1, 13, 277, and 3601.
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 3601, we divide 3601 by 1, which gives us 3601.
To find the simplified coefficient of the radical (c) in the cube root of 3601, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 3601. Therefore, the cube root of 3601 in its simplest radical form is as follows:
∛3601 = ∛3601
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