Simplify cube root of 8732




Here we will explain how to simplify the cube root of 8732 (∛8732). We start by labeling the parts of ∛8732 so it is easy to follow along:

∛8732 = 1∛8732 = c∛r

c = coefficient of the radical

∛ = radical

r = radicand

The cube root of 8732 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 8732, we first find the greatest perfect cube from the list of factors of 8732. The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, and 8732.

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 8732, we divide 8732 by 1, which gives us 8732.

To find the simplified coefficient of the radical (c) in the cube root of 8732, we take the cube root of 1, which gives us 1.

That is how you simplify the cube root of 8732. Therefore, the cube root of 8732 in its simplest radical form is as follows:

∛8732 = ∛8732


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