Here we will explain how to simplify the cube root of 4724 (∛4724). We start by labeling the parts of ∛4724 so it is easy to follow along:
∛4724 = 1∛4724 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 4724 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 4724, we first find the greatest perfect cube from the list of factors of 4724. The factors of 4724 are 1, 2, 4, 1181, 2362, and 4724.
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 4724, we divide 4724 by 1, which gives us 4724.
To find the simplified coefficient of the radical (c) in the cube root of 4724, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 4724. Therefore, the cube root of 4724 in its simplest radical form is as follows:
∛4724 = ∛4724
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