Here we will explain how to simplify the cube root of 7132 (∛7132). We start by labeling the parts of ∛7132 so it is easy to follow along:
∛7132 = 1∛7132 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 7132 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 7132, we first find the greatest perfect cube from the list of factors of 7132. The factors of 7132 are 1, 2, 4, 1783, 3566, and 7132.
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 7132, we divide 7132 by 1, which gives us 7132.
To find the simplified coefficient of the radical (c) in the cube root of 7132, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 7132. Therefore, the cube root of 7132 in its simplest radical form is as follows:
∛7132 = ∛7132
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