Here we will explain how to simplify the cube root of 5134 (∛5134). We start by labeling the parts of ∛5134 so it is easy to follow along:
∛5134 = 1∛5134 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 5134 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 5134, we first find the greatest perfect cube from the list of factors of 5134. The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, and 5134.
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 5134, we divide 5134 by 1, which gives us 5134.
To find the simplified coefficient of the radical (c) in the cube root of 5134, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 5134. Therefore, the cube root of 5134 in its simplest radical form is as follows:
∛5134 = ∛5134
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