Here we will explain how to simplify the cube root of 5508 (∛5508). We start by labeling the parts of ∛5508 so it is easy to follow along:
∛5508 = 1∛5508 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 5508 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 5508, we first find the greatest perfect cube from the list of factors of 5508. The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, and 5508.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 27 (3 times 3 times 3 equals 27).
To find the simplified radicand (r) in the cube root of 5508, we divide 5508 by 27, which gives us 204.
To find the simplified coefficient of the radical (c) in the cube root of 5508, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 5508. Therefore, the cube root of 5508 in its simplest radical form is as follows:
∛5508 = 3∛204
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