Here we will explain how to simplify the cube root of 3951 (∛3951). We start by labeling the parts of ∛3951 so it is easy to follow along:
∛3951 = 1∛3951 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 3951 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 3951, we first find the greatest perfect cube from the list of factors of 3951. The factors of 3951 are 1, 3, 9, 439, 1317, and 3951.
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 3951, we divide 3951 by 1, which gives us 3951.
To find the simplified coefficient of the radical (c) in the cube root of 3951, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 3951. Therefore, the cube root of 3951 in its simplest radical form is as follows:
∛3951 = ∛3951
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