Here we will explain how to simplify the cube root of 6591 (∛6591). We start by labeling the parts of ∛6591 so it is easy to follow along:
∛6591 = 1∛6591 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 6591 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 6591, we first find the greatest perfect cube from the list of factors of 6591. The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, and 6591.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 2197 (13 times 13 times 13 equals 2197).
To find the simplified radicand (r) in the cube root of 6591, we divide 6591 by 2197, which gives us 3.
To find the simplified coefficient of the radical (c) in the cube root of 6591, we take the cube root of 2197, which gives us 13.
That is how you simplify the cube root of 6591. Therefore, the cube root of 6591 in its simplest radical form is as follows:
∛6591 = 13∛3
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