Here we will explain how to simplify the cube root of 4961 (∛4961). We start by labeling the parts of ∛4961 so it is easy to follow along:
∛4961 = 1∛4961 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 4961 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 4961, we first find the greatest perfect cube from the list of factors of 4961. The factors of 4961 are 1, 11, 41, 121, 451, and 4961.
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 4961, we divide 4961 by 1, which gives us 4961.
To find the simplified coefficient of the radical (c) in the cube root of 4961, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 4961. Therefore, the cube root of 4961 in its simplest radical form is as follows:
∛4961 = ∛4961
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