Here we will explain how to simplify the cube root of 54760 (∛54760). We start by labeling the parts of ∛54760 so it is easy to follow along:
∛54760 = 1∛54760 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 54760 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 54760, we first find the greatest perfect cube from the list of factors of 54760. The factors of 54760 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1369, 1480, 2738, 5476, 6845, 10952, 13690, 27380, and 54760.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 8 (2 times 2 times 2 equals 8).
To find the simplified radicand (r) in the cube root of 54760, we divide 54760 by 8, which gives us 6845.
To find the simplified coefficient of the radical (c) in the cube root of 54760, we take the cube root of 8, which gives us 2.
That is how you simplify the cube root of 54760. Therefore, the cube root of 54760 in its simplest radical form is as follows:
∛54760 = 2∛6845
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