Here we will explain how to simplify the cube root of 5279 (∛5279). We start by labeling the parts of ∛5279 so it is easy to follow along:
∛5279 = 1∛5279 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 5279 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 5279, we first find the greatest perfect cube from the list of factors of 5279. The factors of 5279 are 1 and 5279.
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 5279, we divide 5279 by 1, which gives us 5279.
To find the simplified coefficient of the radical (c) in the cube root of 5279, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 5279. Therefore, the cube root of 5279 in its simplest radical form is as follows:
∛5279 = ∛5279
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